From 7242612984d527256fbe448af9468f4d6e51bfcd Mon Sep 17 00:00:00 2001 From: David Pilger Date: Wed, 26 Nov 2025 11:04:54 -0700 Subject: [PATCH 1/5] fixed Issue #144, outer function now operates on arrays of different sizes --- docs/markdown/Building.md | 4 +-- docs/markdown/ReleaseNotes.md | 4 +++ include/NumCpp/Core/Internal/Version.hpp | 2 +- include/NumCpp/Functions/outer.hpp | 12 +++---- test/pytest/test_functions.py | 40 +++++++++++++++--------- 5 files changed, 37 insertions(+), 25 deletions(-) diff --git a/docs/markdown/Building.md b/docs/markdown/Building.md index 4390f2a5c..0d43ad450 100644 --- a/docs/markdown/Building.md +++ b/docs/markdown/Building.md @@ -32,7 +32,7 @@ project("HelloWorld" CXX) add_executable(${PROJECT_NAME} main.cpp) -find_package(NumCpp 2.14.2 REQUIRED) +find_package(NumCpp 2.15.1 REQUIRED) target_link_libraries(${PROJECT_NAME} NumCpp::NumCpp ) @@ -50,7 +50,7 @@ add_executable(${PROJECT_NAME} main.cpp) include(FetchContent) FetchContent_Declare(NumCpp GIT_REPOSITORY https://github.com/dpilger26/NumCpp - GIT_TAG Version_2.14.2) + GIT_TAG Version_2.15.1) FetchContent_MakeAvailable(NumCpp) target_link_libraries(${PROJECT_NAME} diff --git a/docs/markdown/ReleaseNotes.md b/docs/markdown/ReleaseNotes.md index e040ab04a..7a1081859 100644 --- a/docs/markdown/ReleaseNotes.md +++ b/docs/markdown/ReleaseNotes.md @@ -1,5 +1,9 @@ # Release Notes +## Version 2.15.1 + +* fixed Issue #144, `outer` function now operates on arrays of different sizes + ## Version 2.15.0 * added `fft` module for **Issue #137** diff --git a/include/NumCpp/Core/Internal/Version.hpp b/include/NumCpp/Core/Internal/Version.hpp index 016163845..1184c3698 100644 --- a/include/NumCpp/Core/Internal/Version.hpp +++ b/include/NumCpp/Core/Internal/Version.hpp @@ -30,5 +30,5 @@ namespace nc { // NOLINTNEXTLINE(cppcoreguidelines-avoid-c-arrays,hicpp-avoid-c-arrays,modernize-avoid-c-arrays) - constexpr char VERSION[] = "2.14.2"; ///< Current NumCpp version number + constexpr char VERSION[] = "2.15.1"; ///< Current NumCpp version number } // namespace nc diff --git a/include/NumCpp/Functions/outer.hpp b/include/NumCpp/Functions/outer.hpp index a38a5ff1a..cbd0fa20f 100644 --- a/include/NumCpp/Functions/outer.hpp +++ b/include/NumCpp/Functions/outer.hpp @@ -51,15 +51,11 @@ namespace nc { STATIC_ASSERT_ARITHMETIC_OR_COMPLEX(dtype); - const auto size = inArray1.size(); + const auto size1 = inArray1.size(); + const auto size2 = inArray2.size(); - if (size != inArray2.size()) - { - THROW_INVALID_ARGUMENT_ERROR("Input arrays must be the same length"); - } - - auto returnArray = NdArray(size); - for (uint32 row = 0; row < size; ++row) + auto returnArray = NdArray(size1, size2); + for (uint32 row = 0; row < size1; ++row) { const auto array1Value = inArray1[row]; diff --git a/test/pytest/test_functions.py b/test/pytest/test_functions.py index de865a78d..78fe5ea63 100644 --- a/test/pytest/test_functions.py +++ b/test/pytest/test_functions.py @@ -12858,37 +12858,49 @@ def test_ones_like(): #################################################################################### def test_outer(): - size = np.random.randint( + size1 = np.random.randint( 1, 100, [ 1, ], ).item() - shape = NumCpp.Shape(1, size) - cArray1 = NumCpp.NdArray(shape) - cArray2 = NumCpp.NdArray(shape) - data1 = np.random.randint(1, 50, [shape.rows, shape.cols], dtype=np.uint32) - data2 = np.random.randint(1, 50, [shape.rows, shape.cols], dtype=np.uint32) + size2 = np.random.randint( + 1, + 100, + [ + 1, + ], + ).item() + cArray1 = NumCpp.NdArray(NumCpp.Shape(1, size1)) + cArray2 = NumCpp.NdArray(NumCpp.Shape(1, size2)) + data1 = np.random.randint(1, 50, size1, dtype=np.uint32) + data2 = np.random.randint(1, 50, size2, dtype=np.uint32) cArray1.setArray(data1) cArray2.setArray(data2) assert np.array_equal(NumCpp.outer(cArray1, cArray2), np.outer(data1, data2)) - size = np.random.randint( + size1= np.random.randint( 1, 100, [ 1, ], ).item() - shape = NumCpp.Shape(1, size) - cArray1 = NumCpp.NdArrayComplexDouble(shape) - cArray2 = NumCpp.NdArrayComplexDouble(shape) - real1 = np.random.randint(1, 50, [shape.rows, shape.cols]) - imag1 = np.random.randint(1, 50, [shape.rows, shape.cols]) + size2 = np.random.randint( + 1, + 100, + [ + 1, + ], + ).item() + cArray1 = NumCpp.NdArrayComplexDouble(NumCpp.Shape(1, size1)) + cArray2 = NumCpp.NdArrayComplexDouble(NumCpp.Shape(1, size2)) + real1 = np.random.randint(1, 50, size1) + imag1 = np.random.randint(1, 50, size1) data1 = real1 + 1j * imag1 - real2 = np.random.randint(1, 50, [shape.rows, shape.cols]) - imag2 = np.random.randint(1, 50, [shape.rows, shape.cols]) + real2 = np.random.randint(1, 50, size2) + imag2 = np.random.randint(1, 50, size2) data2 = real2 + 1j * imag2 cArray1.setArray(data1) cArray2.setArray(data2) From 83c0761b12d47ec9b5d2dbbf97dad889820d0d19 Mon Sep 17 00:00:00 2001 From: David Pilger Date: Thu, 27 Nov 2025 22:10:46 -0700 Subject: [PATCH 2/5] added eig() and eigvalues() functions for real symmetric matrices --- docs/markdown/ReleaseNotes.md | 6 +- include/NumCpp/Linalg.hpp | 2 + include/NumCpp/Linalg/eig.hpp | 153 ++++++++++++++++++++++++++++++ include/NumCpp/Linalg/eigvals.hpp | 58 +++++++++++ test/pytest/src/Linalg.cpp | 22 ++++- test/pytest/test_linalg.py | 32 +++++++ 6 files changed, 270 insertions(+), 3 deletions(-) create mode 100644 include/NumCpp/Linalg/eig.hpp create mode 100644 include/NumCpp/Linalg/eigvals.hpp diff --git a/docs/markdown/ReleaseNotes.md b/docs/markdown/ReleaseNotes.md index 7a1081859..afb206197 100644 --- a/docs/markdown/ReleaseNotes.md +++ b/docs/markdown/ReleaseNotes.md @@ -2,7 +2,11 @@ ## Version 2.15.1 -* fixed Issue #144, `outer` function now operates on arrays of different sizes +* fixed **Issue #144**, `outer` function now operates on arrays of different sizes +* added `eig()` for **Issue #143** + * unlike NumPy, the NumCpp implementation is only suitable for real symmetric matrices +* added `eigvals()` for **Issue #143** + * unlike NumPy, the NumCpp implementation is only suitable for real symmetric matrices ## Version 2.15.0 diff --git a/include/NumCpp/Linalg.hpp b/include/NumCpp/Linalg.hpp index e030578a7..96ea4ef1a 100644 --- a/include/NumCpp/Linalg.hpp +++ b/include/NumCpp/Linalg.hpp @@ -29,6 +29,8 @@ #include "NumCpp/Linalg/cholesky.hpp" #include "NumCpp/Linalg/det.hpp" +#include "NumCpp/Linalg/eig.hpp" +#include "NumCpp/Linalg/eigvals.hpp" #include "NumCpp/Linalg/gaussNewtonNlls.hpp" #include "NumCpp/Linalg/hat.hpp" #include "NumCpp/Linalg/inv.hpp" diff --git a/include/NumCpp/Linalg/eig.hpp b/include/NumCpp/Linalg/eig.hpp new file mode 100644 index 000000000..dd250b224 --- /dev/null +++ b/include/NumCpp/Linalg/eig.hpp @@ -0,0 +1,153 @@ +/// @file +/// @author David Pilger +/// [GitHub Repository](https://github.com/dpilger26/NumCpp) +/// +/// License +/// Copyright 2018-2026 David Pilger +/// +/// Permission is hereby granted, free of charge, to any person obtaining a copy of this +/// software and associated documentation files(the "Software"), to deal in the Software +/// without restriction, including without limitation the rights to use, copy, modify, +/// merge, publish, distribute, sublicense, and/or sell copies of the Software, and to +/// permit persons to whom the Software is furnished to do so, subject to the following +/// conditions : +/// +/// The above copyright notice and this permission notice shall be included in all copies +/// or substantial portions of the Software. +/// +/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, +/// INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR +/// PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE +/// FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR +/// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER +/// DEALINGS IN THE SOFTWARE. +/// +/// Description +/// linear least squares +/// +#pragma once + +#include + +#include "NumCpp/Core/Internal/StaticAsserts.hpp" +#include "NumCpp/Functions/eye.hpp" +#include "NumCpp/NdArray.hpp" +#include "NumCpp/Utils/sqr.hpp" + +namespace nc::linalg +{ + //============================================================================ + // Method Description: + /// Compute the eigen values and eigen vectors of a real symmetric matrix. + /// + /// NumPy Reference: + /// https://numpy.org/doc/stable/reference/generated/numpy.linalg.eig.html#numpy.linalg.eig + /// + /// @param inA: Matrix for which the eigen values and eigen vectors will be computed, must be a real, symmetric MxM + /// array + /// @param inTolerance (default 1e-12) + /// + /// @return std::pair, NdArray> eigen values and eigen vectors + /// + template + std::pair, NdArray> eig(const NdArray& inA, double inTolerance = 1e-12) + { + STATIC_ASSERT_ARITHMETIC(dtype); + + if (!inA.issquare()) + { + THROW_INVALID_ARGUMENT_ERROR("Input array must be square."); + } + + const auto n = inA.numRows(); + auto b = inA.template astype(); + auto eigenVectors = eye(n); + auto eigenVals = NdArray(1, n); + + constexpr auto MAX_ITERATIONS = 10000; + for (auto iter = 0u; iter < MAX_ITERATIONS; ++iter) + { + auto max_off_diag = 0.; + auto p = 0u; + auto q = 1u; + + for (auto i = 0u; i < n; i++) + { + for (auto j = i + 1; j < n; j++) + { + const auto val = std::fabs(b(i, j)); + if (val > max_off_diag) + { + max_off_diag = val; + p = i; + q = j; + } + } + } + + if (max_off_diag < inTolerance) + { + break; + } + + const auto app = b(p, p); + const auto aqq = b(q, q); + const auto apq = b(p, q); + + const auto theta = (aqq - app) / (2. * apq); + const auto onePlusThetaSqr = std::sqrt(1. + utils::sqr(theta)); + const auto t = (theta >= 0.) ? 1. / (theta + onePlusThetaSqr) : 1. / (theta - onePlusThetaSqr); + const auto c = 1.0 / std::sqrt(1. + utils::sqr(t)); + const auto s = t * c; + + for (auto i = 0u; i < n; ++i) + { + if (i != p && i != q) + { + const auto bip = b(i, p); + const auto biq = b(i, q); + b(i, p) = c * bip - s * biq; + b(p, i) = b(i, p); + b(i, q) = s * bip + c * biq; + b(q, i) = b(i, q); + } + } + + b(p, p) = c * c * app + s * s * aqq - 2. * c * s * apq; + b(q, q) = s * s * app + c * c * aqq + 2. * c * s * apq; + b(p, q) = 0.; + b(q, p) = 0.; + + for (auto i = 0u; i < n; ++i) + { + const auto vip = eigenVectors(i, p); + const auto viq = eigenVectors(i, q); + eigenVectors(i, p) = c * vip - s * viq; + eigenVectors(i, q) = s * vip + c * viq; + } + } + + for (auto i = 0u; i < n; ++i) + { + eigenVals[i] = b(i, i); + } + + for (auto i = 0u; i < n - 1; ++i) + { + for (auto j = i + 1; j < n; ++j) + { + if (eigenVals[i] < eigenVals[j]) + { + std::swap(eigenVals[i], eigenVals[j]); + + for (auto k = 0u; k < n; ++k) + { + std::swap(eigenVectors(k, i), eigenVectors(k, j)); + } + } + } + } + + return std::make_pair(eigenVals, eigenVectors); + } +} // namespace nc::linalg diff --git a/include/NumCpp/Linalg/eigvals.hpp b/include/NumCpp/Linalg/eigvals.hpp new file mode 100644 index 000000000..d1dcdb7bb --- /dev/null +++ b/include/NumCpp/Linalg/eigvals.hpp @@ -0,0 +1,58 @@ +/// @file +/// @author David Pilger +/// [GitHub Repository](https://github.com/dpilger26/NumCpp) +/// +/// License +/// Copyright 2018-2026 David Pilger +/// +/// Permission is hereby granted, free of charge, to any person obtaining a copy of this +/// software and associated documentation files(the "Software"), to deal in the Software +/// without restriction, including without limitation the rights to use, copy, modify, +/// merge, publish, distribute, sublicense, and/or sell copies of the Software, and to +/// permit persons to whom the Software is furnished to do so, subject to the following +/// conditions : +/// +/// The above copyright notice and this permission notice shall be included in all copies +/// or substantial portions of the Software. +/// +/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, +/// INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR +/// PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE +/// FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR +/// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER +/// DEALINGS IN THE SOFTWARE. +/// +/// Description +/// linear least squares +/// +#pragma once + +#include "NumCpp/Core/Internal/StaticAsserts.hpp" +#include "NumCpp/Linalg/eig.hpp" +#include "NumCpp/NdArray.hpp" + +namespace nc::linalg +{ + //============================================================================ + // Method Description: + /// Compute the eigen values of a real symmetric matrix. + /// + /// NumPy Reference: + /// https://numpy.org/doc/stable/reference/generated/numpy.linalg.eigvals.html + /// + /// @param inA: Matrix for which the eigen values and will be computed, must be a real, symmetric MxM + /// array + /// @param inTolerance (default 1e-12) + /// + /// @return NdArray + /// + template + NdArray eigvals(const NdArray& inA, double inTolerance = 1e-12) + { + STATIC_ASSERT_ARITHMETIC(dtype); + + const auto& [eigenValues, _] = eig(inA, inTolerance); + + return eigenValues; + } +} // namespace nc::linalg diff --git a/test/pytest/src/Linalg.cpp b/test/pytest/src/Linalg.cpp index 31510cbae..42e5c8550 100644 --- a/test/pytest/src/Linalg.cpp +++ b/test/pytest/src/Linalg.cpp @@ -2,11 +2,27 @@ #include "BindingsIncludes.hpp" - //================================================================================ namespace LinalgInterface { + template + std::pair eig(const NdArray& inArray) + { + const auto& [eigenValues, eigenVectors] = linalg::eig(inArray); + return std::make_pair(nc2pybind(eigenValues), nc2pybind(eigenVectors)); + } + + //================================================================================ + + template + pbArrayGeneric eigvals(const NdArray& inArray) + { + return nc2pybind(linalg::eigvals(inArray)); + } + + //================================================================================ + template pbArrayGeneric hatArray(const NdArray& inArray) { @@ -53,6 +69,8 @@ void initLinalg(pb11::module& m) m.def("cholesky", &linalg::cholesky); m.def("det", &linalg::det); m.def("det", &linalg::det); + m.def("eig", &LinalgInterface::eig); + m.def("eigvals", &LinalgInterface::eigvals); m.def("hat", &LinalgInterface::hatArray); m.def("inv", &linalg::inv); m.def("lstsq", &linalg::lstsq); @@ -64,4 +82,4 @@ void initLinalg(pb11::module& m) m.def("pivotLU_decomposition", &LinalgInterface::pivotLU_decomposition); m.def("solve", &LinalgInterface::solve); m.def("svd", &linalg::svd); -} \ No newline at end of file +} diff --git a/test/pytest/test_linalg.py b/test/pytest/test_linalg.py index 2b7ca924c..e90f5aff6 100644 --- a/test/pytest/test_linalg.py +++ b/test/pytest/test_linalg.py @@ -43,6 +43,38 @@ def test_det(): assert NumCpp.det(cArray) == round(np.linalg.det(data)) +#################################################################################### +def test_eig(): + for _ in range(50): + shape = np.random.randint(5, 50, [2,]) + data = np.random.randint(0, 100, shape).astype(float) + data = np.dot(data, data.T) # real symmetric + cArray = NumCpp.NdArray() + cArray.setArray(data) + cEigenValues, cEigenVectors = NumCpp.eig(cArray) + eigenValues, eigenVectors = np.linalg.eig(data) + assert np.array_equal(np.round(np.abs(cEigenValues.flatten()), 5), np.flip(np.sort(np.round(np.abs(eigenValues), 5))).real) + + for idx, eigenValue in enumerate(cEigenValues.flatten()): + eigenVector = cEigenVectors[:, idx] + assert np.round(np.linalg.norm(eigenVector), 8) == 1.0 + aTimesV = np.round(np.linalg.norm(np.dot(data, eigenVector)), 6) + assert aTimesV == np.round(eigenValue, 6) + + +#################################################################################### +def test_eigvals(): + for _ in range(50): + size = np.random.randint(5, 50) + data = np.random.randint(0, 100, [size, size]) + data = np.dot(data, data.T) + cArray = NumCpp.NdArray() + cArray.setArray(data) + cEigenValues = NumCpp.eigvals(cArray) + eigenValues = np.linalg.eigvals(data) + assert np.array_equal(np.round(np.abs(cEigenValues.flatten()), 5), np.flip(np.sort(np.round(np.abs(eigenValues), 5))).real) + + #################################################################################### def test_hat(): shape = NumCpp.Shape(1, 3) From 522a76d1a78981fd071b076d057d1fb0864efafa Mon Sep 17 00:00:00 2001 From: David Pilger Date: Sun, 30 Nov 2025 11:31:54 -0700 Subject: [PATCH 3/5] reworked SVD class, pinv, lstsq. added svdvals() --- docs/markdown/ReleaseNotes.md | 2 + include/NumCpp/Linalg.hpp | 1 + include/NumCpp/Linalg/lstsq.hpp | 12 +- include/NumCpp/Linalg/pinv.hpp | 20 +- .../NumCpp/Linalg/pivotLU_decomposition.hpp | 2 +- include/NumCpp/Linalg/svd.hpp | 17 +- include/NumCpp/Linalg/svd/SVD.hpp | 222 ++++++ include/NumCpp/Linalg/svd/SVDClass.hpp | 646 ------------------ include/NumCpp/Linalg/svdvals.hpp | 61 ++ test/pytest/src/Linalg.cpp | 11 +- test/pytest/test_linalg.py | 105 +-- 11 files changed, 378 insertions(+), 721 deletions(-) create mode 100644 include/NumCpp/Linalg/svd/SVD.hpp delete mode 100644 include/NumCpp/Linalg/svd/SVDClass.hpp create mode 100644 include/NumCpp/Linalg/svdvals.hpp diff --git a/docs/markdown/ReleaseNotes.md b/docs/markdown/ReleaseNotes.md index afb206197..c94cc32c8 100644 --- a/docs/markdown/ReleaseNotes.md +++ b/docs/markdown/ReleaseNotes.md @@ -3,10 +3,12 @@ ## Version 2.15.1 * fixed **Issue #144**, `outer` function now operates on arrays of different sizes +* fixed **Issue #215**, `pinv` function has been corrected * added `eig()` for **Issue #143** * unlike NumPy, the NumCpp implementation is only suitable for real symmetric matrices * added `eigvals()` for **Issue #143** * unlike NumPy, the NumCpp implementation is only suitable for real symmetric matrices +* added `svdvals` ## Version 2.15.0 diff --git a/include/NumCpp/Linalg.hpp b/include/NumCpp/Linalg.hpp index 96ea4ef1a..5b7647573 100644 --- a/include/NumCpp/Linalg.hpp +++ b/include/NumCpp/Linalg.hpp @@ -42,3 +42,4 @@ #include "NumCpp/Linalg/pivotLU_decomposition.hpp" #include "NumCpp/Linalg/solve.hpp" #include "NumCpp/Linalg/svd.hpp" +#include "NumCpp/Linalg/svdvals.hpp" diff --git a/include/NumCpp/Linalg/lstsq.hpp b/include/NumCpp/Linalg/lstsq.hpp index 188db56c9..b76e6867f 100644 --- a/include/NumCpp/Linalg/lstsq.hpp +++ b/include/NumCpp/Linalg/lstsq.hpp @@ -28,7 +28,7 @@ #pragma once #include "NumCpp/Core/Internal/StaticAsserts.hpp" -#include "NumCpp/Linalg/svd/SVDClass.hpp" +#include "NumCpp/Linalg/svd/SVD.hpp" #include "NumCpp/NdArray.hpp" namespace nc::linalg @@ -50,12 +50,11 @@ namespace nc::linalg /// @param inA: coefficient matrix /// @param inB: Ordinate or "dependent variable" values. If b is two-dimensional, the least-squares solution is /// calculated for each of the K columns of b. - /// @param inTolerance (default 1e-12) /// /// @return NdArray /// template - NdArray lstsq(const NdArray& inA, const NdArray& inB, double inTolerance = 1e-12) + NdArray lstsq(const NdArray& inA, const NdArray& inB) { STATIC_ASSERT_ARITHMETIC(dtype); @@ -72,12 +71,11 @@ namespace nc::linalg THROW_INVALID_ARGUMENT_ERROR("Invalid matrix dimensions"); } - SVD svdSolver(inA.template astype()); - const double threshold = inTolerance * svdSolver.s().front(); + SVD svd(inA.template astype()); if (bIsFlat) { - return svdSolver.solve(inB.template astype(), threshold); + return svd.lstsq(inB.template astype()); } const auto bCast = inB.template astype(); @@ -88,7 +86,7 @@ namespace nc::linalg for (uint32 col = 0; col < bShape.cols; ++col) { - result.put(resultRowSlice, col, svdSolver.solve(bCast(bRowSlice, col), threshold)); + result.put(resultRowSlice, col, svd.lstsq(bCast(bRowSlice, col))); } return result; diff --git a/include/NumCpp/Linalg/pinv.hpp b/include/NumCpp/Linalg/pinv.hpp index 611fffbb2..14766cebb 100644 --- a/include/NumCpp/Linalg/pinv.hpp +++ b/include/NumCpp/Linalg/pinv.hpp @@ -31,8 +31,7 @@ #include "NumCpp/Core/Internal/StaticAsserts.hpp" #include "NumCpp/Core/Types.hpp" -#include "NumCpp/Functions/zeros.hpp" -#include "NumCpp/Linalg/svd.hpp" +#include "NumCpp/Linalg/svd/SVD.hpp" #include "NumCpp/NdArray.hpp" namespace nc::linalg @@ -51,19 +50,6 @@ namespace nc::linalg { STATIC_ASSERT_ARITHMETIC_OR_COMPLEX(dtype); - NdArray u; - NdArray d; - NdArray v; - svd(inArray, u, d, v); - - const auto inShape = inArray.shape(); - auto dPlus = nc::zeros(inShape.cols, inShape.rows); // transpose - - for (uint32 i = 0; i < d.shape().rows; ++i) - { - dPlus(i, i) = 1. / d(i, i); - } - - return v.transpose().dot(dPlus).dot(u.transpose()); + return SVD{ inArray }.pinv(); } -} // namespace nc::linalg \ No newline at end of file +} // namespace nc::linalg diff --git a/include/NumCpp/Linalg/pivotLU_decomposition.hpp b/include/NumCpp/Linalg/pivotLU_decomposition.hpp index 3d5299d60..61726146c 100644 --- a/include/NumCpp/Linalg/pivotLU_decomposition.hpp +++ b/include/NumCpp/Linalg/pivotLU_decomposition.hpp @@ -58,7 +58,7 @@ namespace nc::linalg { STATIC_ASSERT_ARITHMETIC(dtype); - const auto shape = inMatrix.shape(); + const auto& shape = inMatrix.shape(); if (!shape.issquare()) { diff --git a/include/NumCpp/Linalg/svd.hpp b/include/NumCpp/Linalg/svd.hpp index 8c5c1e3cd..6e048ae0b 100644 --- a/include/NumCpp/Linalg/svd.hpp +++ b/include/NumCpp/Linalg/svd.hpp @@ -31,7 +31,7 @@ #include "NumCpp/Core/Internal/StaticAsserts.hpp" #include "NumCpp/Functions/diagflat.hpp" -#include "NumCpp/Linalg/svd/SVDClass.hpp" +#include "NumCpp/Linalg/svd/SVD.hpp" #include "NumCpp/NdArray.hpp" namespace nc::linalg @@ -45,20 +45,17 @@ namespace nc::linalg /// @param inArray: NdArray to be SVDed /// @param outU: NdArray output U /// @param outS: NdArray output S - /// @param outVt: NdArray output V transpose + /// @param outVT: NdArray output V transpose /// template - void svd(const NdArray& inArray, NdArray& outU, NdArray& outS, NdArray& outVt) + void svd(const NdArray& inArray, NdArray& outU, NdArray& outS, NdArray& outVT) { STATIC_ASSERT_ARITHMETIC(dtype); - SVD svdSolver(inArray.template astype()); - outU = svdSolver.u(); + const auto svd = SVD{ inArray }; - NdArray vt = svdSolver.v().transpose(); - outVt = std::move(vt); - - NdArray s = diagflat(svdSolver.s(), 0); - outS = std::move(s); + outU = svd.u(); + outS = std::move(svd.s()[Slice(std::min(inArray.numRows(), inArray.numCols()))]); + outVT = std::move(svd.v().transpose()); } } // namespace nc::linalg diff --git a/include/NumCpp/Linalg/svd/SVD.hpp b/include/NumCpp/Linalg/svd/SVD.hpp new file mode 100644 index 000000000..bf08dca13 --- /dev/null +++ b/include/NumCpp/Linalg/svd/SVD.hpp @@ -0,0 +1,222 @@ +/// @file +/// @author David Pilger +/// [GitHub Repository](https://github.com/dpilger26/NumCpp) +/// +/// License +/// Copyright 2020 David Pilger +/// +/// Permission is hereby granted, free of charge, to any person obtaining a copy of this +/// software and associated documentation files(the "Software"), to deal in the Software +/// without restriction, including without limitation the rights to use, copy, modify, +/// merge, publish, distribute, sublicense, and/or sell copies of the Software, and to +/// permit persons to whom the Software is furnished to do so, subject to the following +/// conditions : +/// +/// The above copyright notice and this permission notice shall be included in all copies +/// or substantial portions of the Software. +/// +/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, +/// INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR +/// PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE +/// FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR +/// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER +/// DEALINGS IN THE SOFTWARE. +/// +/// Description +/// Performs the singular value decomposition of a general matrix, +/// taken and adapted from Numerical Recipes Third Edition svd.h +/// +#pragma once + +#include +#include +#include + +#include "NumCpp/Core/Internal/Error.hpp" +#include "NumCpp/Core/Types.hpp" +#include "NumCpp/Functions/dot.hpp" +#include "NumCpp/Functions/norm.hpp" +#include "NumCpp/Functions/zeros.hpp" +#include "NumCpp/Linalg/eig.hpp" +#include "NumCpp/NdArray.hpp" + +namespace nc::linalg +{ + // ============================================================================= + // Class Description: + /// Performs the singular value decomposition of a general matrix + template + class SVD + { + public: + STATIC_ASSERT_ARITHMETIC(dtype); + + static constexpr auto TOLERANCE = 1e-12; + + // ============================================================================= + // Description: + /// Constructor + /// + /// @param inMatrix: matrix to perform SVD on + /// + explicit SVD(const NdArray& inMatrix) : + m_{ inMatrix.shape().rows }, + n_{ inMatrix.shape().cols }, + s_(1, m_) + { + compute(inMatrix.template astype()); + } + + // ============================================================================= + // Description: + /// the resultant u matrix + /// + /// @return u matrix + /// + const NdArray& u() const noexcept + { + return u_; + } + + // ============================================================================= + // Description: + /// the resultant v transpose matrix + /// + /// @return v matrix + /// + const NdArray& v() const noexcept + { + return v_; + } + + // ============================================================================= + // Description: + /// the resultant w matrix + /// + /// @return s matrix + /// + const NdArray& s() const noexcept + { + return s_; + } + + // ============================================================================= + // Description: + /// Returns the pseudo-inverse of the input matrix + /// + /// @return NdArray + /// + NdArray pinv() + { + // lazy evaluation + if (pinv_.isempty()) + { + auto sInverse = nc::zeros(n_, m_); // transpose + for (auto i = 0u; i < std::min(m_, n_); ++i) + { + if (s_[i] > TOLERANCE) + { + sInverse(i, i) = 1. / s_[i]; + } + } + + pinv_ = dot(v_, dot(sInverse, u_.transpose())); + } + + return pinv_; + } + + // ============================================================================= + // Description: + /// solves the linear least squares problem + /// + /// @param inInput + /// + /// @return NdArray + /// + NdArray lstsq(const NdArray& inInput) + { + if (inInput.size() != m_) + { + THROW_INVALID_ARGUMENT_ERROR("Invalid matrix dimensions"); + } + + if (inInput.numCols() == 1) + { + return dot(pinv(), inInput); + } + else + { + const auto input = inInput.copy().reshape(inInput.size(), 1); + return dot(pinv(), input); + } + } + + private: + // ============================================================================= + // Description: + /// Computes the SVD of the input matrix + /// + /// @param A: matrix to perform SVD on + /// + void compute(const NdArray& A) + { + const auto At = A.transpose(); + const auto AtA = dot(At, A); + const auto AAt = dot(A, At); + + const auto& [sigmaSquaredU, U] = eig(AAt); + const auto& [sigmaSquaredV, V] = eig(AtA); + + auto rank = 0u; + for (auto i = 0u; i < std::min(m_, n_); ++i) + { + if (sigmaSquaredV[i] > TOLERANCE) + { + s_[i] = std::sqrt(sigmaSquaredV[i]); + rank++; + } + } + + // std::cout << U.front() << ' ' << U.back() << '\n'; + // std::cout << V.front() << ' ' << V.back() << '\n'; + // std::cout << "hello world\n"; + + u_ = std::move(U); + v_ = std::move(V); + + auto Av = NdArray(m_, 1); + for (auto i = 0u; i < rank; ++i) + { + for (auto j = 0u; j < m_; ++j) + { + auto sum = 0.; + for (auto k = 0u; k < n_; ++k) + { + sum += A(j, k) * v_(k, i); + } + Av[j] = sum; + } + + const auto normalization = norm(Av).item(); + + if (normalization > TOLERANCE) + { + for (auto j = 0u; j < m_; ++j) + { + u_(j, i) = Av[j] / normalization; + } + } + } + } + + private: + // ===============================Attributes==================================== + const uint32 m_{}; + const uint32 n_{}; + NdArray u_{}; + NdArray v_{}; + NdArray s_{}; + NdArray pinv_{}; + }; +} // namespace nc::linalg diff --git a/include/NumCpp/Linalg/svd/SVDClass.hpp b/include/NumCpp/Linalg/svd/SVDClass.hpp deleted file mode 100644 index 317f6fd6d..000000000 --- a/include/NumCpp/Linalg/svd/SVDClass.hpp +++ /dev/null @@ -1,646 +0,0 @@ -/// @file -/// @author David Pilger -/// [GitHub Repository](https://github.com/dpilger26/NumCpp) -/// -/// License -/// Copyright 2020 David Pilger -/// -/// Permission is hereby granted, free of charge, to any person obtaining a copy of this -/// software and associated documentation files(the "Software"), to deal in the Software -/// without restriction, including without limitation the rights to use, copy, modify, -/// merge, publish, distribute, sublicense, and/or sell copies of the Software, and to -/// permit persons to whom the Software is furnished to do so, subject to the following -/// conditions : -/// -/// The above copyright notice and this permission notice shall be included in all copies -/// or substantial portions of the Software. -/// -/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, -/// INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR -/// PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE -/// FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR -/// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER -/// DEALINGS IN THE SOFTWARE. -/// -/// Description -/// Performs the singular value decomposition of a general matrix, -/// taken and adapted from Numerical Recipes Third Edition svd.h -/// -#pragma once - -#include -#include -#include - -#include "NumCpp/Core/Internal/Error.hpp" -#include "NumCpp/Core/Types.hpp" -#include "NumCpp/NdArray.hpp" -#include "NumCpp/Utils/essentiallyEqual.hpp" - -namespace nc::linalg -{ - // ============================================================================= - // Class Description: - /// performs the singular value decomposition of a general matrix, - /// taken and adapted from Numerical Recipes Third Edition svd.h - class SVD - { - public: - // ============================================================================= - // Description: - /// Constructor - /// - /// @param inMatrix: matrix to perform SVD on - /// - explicit SVD(const NdArray& inMatrix) : - m_(inMatrix.shape().rows), - n_(inMatrix.shape().cols), - u_(inMatrix), - v_(n_, n_), - s_(1, n_), - eps_(std::numeric_limits::epsilon()) - { - decompose(); - reorder(); - tsh_ = 0.5 * std::sqrt(m_ + n_ + 1.) * s_.front() * eps_; - } - - // ============================================================================= - // Description: - /// the resultant u matrix - /// - /// @return u matrix - /// - const NdArray& u() noexcept - { - return u_; - } - - // ============================================================================= - // Description: - /// the resultant v matrix - /// - /// @return v matrix - /// - const NdArray& v() noexcept - { - return v_; - } - - // ============================================================================= - // Description: - /// the resultant w matrix - /// - /// @return s matrix - /// - const NdArray& s() noexcept - { - return s_; - } - - // ============================================================================= - // Description: - /// solves the linear least squares problem - /// - /// @param inInput - /// @param inThresh (default -1.) - /// - /// @return NdArray - /// - NdArray solve(const NdArray& inInput, double inThresh = -1.) - { - double ss{}; - - if (inInput.size() != m_) - { - THROW_INVALID_ARGUMENT_ERROR("Invalid matrix dimensions"); - } - - NdArray returnArray(1, n_); - - NdArray tmp(1, n_); - - tsh_ = (inThresh >= 0. ? inThresh : 0.5 * sqrt(m_ + n_ + 1.) * s_.front() * eps_); - - for (uint32 j = 0; j < n_; j++) - { - ss = 0.; - if (s_[j] > tsh_) - { - for (uint32 i = 0; i < m_; i++) - { - ss += u_(i, j) * inInput[i]; - } - ss /= s_[j]; - } - tmp[j] = ss; - } - - for (uint32 j = 0; j < n_; j++) - { - ss = 0.; - for (uint32 jj = 0; jj < n_; jj++) - { - ss += v_(j, jj) * tmp[jj]; - } - - returnArray[j] = ss; - } - - return returnArray; - } - - private: - // ============================================================================= - // Description: - /// returns the SIGN of two values - /// - /// @param inA - /// @param inB - /// - /// @return value - /// - static double SIGN(double inA, double inB) noexcept - { - return inB >= 0 ? (inA >= 0 ? inA : -inA) : (inA >= 0 ? -inA : inA); - } - - // ============================================================================= - // Description: - /// decomposes the input matrix - /// - void decompose() - { - bool flag{}; - uint32 i{}; - uint32 its{}; - uint32 j{}; - uint32 jj{}; - uint32 k{}; - uint32 l{}; - uint32 nm{}; - - double anorm{}; - double c{}; - double f{}; - double g{}; - double h{}; - double ss{}; - double scale{}; - double x{}; - double y{}; - double z{}; - - NdArray rv1(n_, 1); - - for (i = 0; i < n_; ++i) - { - l = i + 2; - rv1[i] = scale * g; - g = ss = scale = 0.; - - if (i < m_) - { - for (k = i; k < m_; ++k) - { - scale += std::abs(u_(k, i)); - } - - if (!utils::essentiallyEqual(scale, 0.)) - { - for (k = i; k < m_; ++k) - { - u_(k, i) /= scale; - ss += u_(k, i) * u_(k, i); - } - - f = u_(i, i); - g = -SIGN(std::sqrt(ss), f); - h = f * g - ss; - u_(i, i) = f - g; - - for (j = l - 1; j < n_; ++j) - { - for (ss = 0., k = i; k < m_; ++k) - { - ss += u_(k, i) * u_(k, j); - } - - f = ss / h; - - for (k = i; k < m_; ++k) - { - u_(k, j) += f * u_(k, i); - } - } - - for (k = i; k < m_; ++k) - { - u_(k, i) *= scale; - } - } - } - - s_[i] = scale * g; - g = ss = scale = 0.; - - if (i + 1 <= m_ && i + 1 != n_) - { - for (k = l - 1; k < n_; ++k) - { - scale += std::abs(u_(i, k)); - } - - if (!utils::essentiallyEqual(scale, 0.)) - { - for (k = l - 1; k < n_; ++k) - { - u_(i, k) /= scale; - ss += u_(i, k) * u_(i, k); - } - - f = u_(i, l - 1); - g = -SIGN(std::sqrt(ss), f); - h = f * g - ss; - u_(i, l - 1) = f - g; - - for (k = l - 1; k < n_; ++k) - { - rv1[k] = u_(i, k) / h; - } - - for (j = l - 1; j < m_; ++j) - { - for (ss = 0., k = l - 1; k < n_; ++k) - { - ss += u_(j, k) * u_(i, k); - } - - for (k = l - 1; k < n_; ++k) - { - u_(j, k) += ss * rv1[k]; - } - } - - for (k = l - 1; k < n_; ++k) - { - u_(i, k) *= scale; - } - } - } - - anorm = std::max(anorm, (std::abs(s_[i]) + std::abs(rv1[i]))); - } - - for (i = n_ - 1; i != static_cast(-1); --i) - { - if (i < n_ - 1) - { - if (!utils::essentiallyEqual(g, 0.)) - { - for (j = l; j < n_; ++j) - { - v_(j, i) = (u_(i, j) / u_(i, l)) / g; - } - - for (j = l; j < n_; ++j) - { - for (ss = 0., k = l; k < n_; ++k) - { - ss += u_(i, k) * v_(k, j); - } - - for (k = l; k < n_; ++k) - { - v_(k, j) += ss * v_(k, i); - } - } - } - - for (j = l; j < n_; ++j) - { - v_(i, j) = v_(j, i) = 0.; - } - } - - v_(i, i) = 1.; - g = rv1[i]; - l = i; - } - - for (i = std::min(m_, n_) - 1; i != static_cast(-1); --i) - { - l = i + 1; - g = s_[i]; - - for (j = l; j < n_; ++j) - { - u_(i, j) = 0.; - } - - if (!utils::essentiallyEqual(g, 0.)) - { - g = 1. / g; - - for (j = l; j < n_; ++j) - { - for (ss = 0., k = l; k < m_; ++k) - { - ss += u_(k, i) * u_(k, j); - } - - f = (ss / u_(i, i)) * g; - - for (k = i; k < m_; ++k) - { - u_(k, j) += f * u_(k, i); - } - } - - for (j = i; j < m_; ++j) - { - u_(j, i) *= g; - } - } - else - { - for (j = i; j < m_; ++j) - { - u_(j, i) = 0.; - } - } - - ++u_(i, i); - } - - for (k = n_ - 1; k != static_cast(-1); --k) - { - for (its = 0; its < 30; ++its) - { - flag = true; - for (l = k; l != static_cast(-1); --l) - { - nm = l - 1; - if (l == 0 || std::abs(rv1[l]) <= eps_ * anorm) - { - flag = false; - break; - } - - if (std::abs(s_[nm]) <= eps_ * anorm) - { - break; - } - } - - if (flag) - { - c = 0.; - ss = 1.; - for (i = l; i < k + 1; ++i) - { - f = ss * rv1[i]; - rv1[i] = c * rv1[i]; - - if (std::abs(f) <= eps_ * anorm) - { - break; - } - - g = s_[i]; - h = pythag(f, g); - s_[i] = h; - h = 1. / h; - c = g * h; - ss = -f * h; - - for (j = 0; j < m_; ++j) - { - y = u_(j, nm); - z = u_(j, i); - u_(j, nm) = y * c + z * ss; - u_(j, i) = z * c - y * ss; - } - } - } - - z = s_[k]; - if (l == k) - { - if (z < 0.) - { - s_[k] = -z; - for (j = 0; j < n_; ++j) - { - v_(j, k) = -v_(j, k); - } - } - break; - } - - if (its == 29) - { - THROW_INVALID_ARGUMENT_ERROR("no convergence in 30 svdcmp iterations"); - } - - x = s_[l]; - nm = k - 1; - y = s_[nm]; - g = rv1[nm]; - h = rv1[k]; - f = ((y - z) * (y + z) + (g - h) * (g + h)) / (2. * h * y); - g = pythag(f, 1.); - f = ((x - z) * (x + z) + h * ((y / (f + SIGN(g, f))) - h)) / x; - c = ss = 1.; - - for (j = l; j <= nm; j++) - { - i = j + 1; - g = rv1[i]; - y = s_[i]; - h = ss * g; - g = c * g; - z = pythag(f, h); - rv1[j] = z; - c = f / z; - ss = h / z; - f = x * c + g * ss; - g = g * c - x * ss; - h = y * ss; - y *= c; - - for (jj = 0; jj < n_; ++jj) - { - x = v_(jj, j); - z = v_(jj, i); - v_(jj, j) = x * c + z * ss; - v_(jj, i) = z * c - x * ss; - } - - z = pythag(f, h); - s_[j] = z; - - if (!utils::essentiallyEqual(z, 0.)) - { - z = 1. / z; - c = f * z; - ss = h * z; - } - - f = c * g + ss * y; - x = c * y - ss * g; - - for (jj = 0; jj < m_; ++jj) - { - y = u_(jj, j); - z = u_(jj, i); - u_(jj, j) = y * c + z * ss; - u_(jj, i) = z * c - y * ss; - } - } - rv1[l] = 0.; - rv1[k] = f; - s_[k] = x; - } - } - } - - // ============================================================================= - // Description: - /// reorders the input matrix - /// - void reorder() - { - uint32 i = 0; - uint32 j = 0; - uint32 k = 0; - uint32 ss = 0; - uint32 inc = 1; - - double sw{}; - NdArray su(m_, 1); - NdArray sv(n_, 1); - - do - { - inc *= 3; - ++inc; - } while (inc <= n_); - - do - { - inc /= 3; - for (i = inc; i < n_; ++i) - { - sw = s_[i]; - for (k = 0; k < m_; ++k) - { - su[k] = u_(k, i); - } - - for (k = 0; k < n_; ++k) - { - sv[k] = v_(k, i); - } - - j = i; - while (s_[j - inc] < sw) - { - s_[j] = s_[j - inc]; - - for (k = 0; k < m_; ++k) - { - u_(k, j) = u_(k, j - inc); - } - - for (k = 0; k < n_; ++k) - { - v_(k, j) = v_(k, j - inc); - } - - j -= inc; - - if (j < inc) - { - break; - } - } - - s_[j] = sw; - - for (k = 0; k < m_; ++k) - { - u_(k, j) = su[k]; - } - - for (k = 0; k < n_; ++k) - { - v_(k, j) = sv[k]; - } - } - } while (inc > 1); - - for (k = 0; k < n_; ++k) - { - ss = 0; - - for (i = 0; i < m_; i++) - { - if (u_(i, k) < 0.) - { - ss++; - } - } - - for (j = 0; j < n_; ++j) - { - if (v_(j, k) < 0.) - { - ss++; - } - } - - if (ss > (m_ + n_) / 2) - { - for (i = 0; i < m_; ++i) - { - u_(i, k) = -u_(i, k); - } - - for (j = 0; j < n_; ++j) - { - v_(j, k) = -v_(j, k); - } - } - } - } - - // ============================================================================= - // Description: - /// performs pythag of input values - /// - /// @param inA - /// @param inB - /// - /// @return resultant value - /// - static double pythag(double inA, double inB) noexcept - { - const double absa = std::abs(inA); - const double absb = std::abs(inB); - return (absa > absb - ? absa * std::sqrt(1. + utils::sqr(absb / absa)) - : (utils::essentiallyEqual(absb, 0.) ? 0. : absb * std::sqrt(1. + utils::sqr(absa / absb)))); - } - - private: - // ===============================Attributes==================================== - const uint32 m_{}; - const uint32 n_{}; - NdArray u_{}; - NdArray v_{}; - NdArray s_{}; - double eps_{}; - double tsh_{}; - }; -} // namespace nc::linalg diff --git a/include/NumCpp/Linalg/svdvals.hpp b/include/NumCpp/Linalg/svdvals.hpp new file mode 100644 index 000000000..cd77fc02c --- /dev/null +++ b/include/NumCpp/Linalg/svdvals.hpp @@ -0,0 +1,61 @@ +/// @file +/// @author David Pilger +/// [GitHub Repository](https://github.com/dpilger26/NumCpp) +/// +/// License +/// Copyright 2018-2026 David Pilger +/// +/// Permission is hereby granted, free of charge, to any person obtaining a copy of this +/// software and associated documentation files(the "Software"), to deal in the Software +/// without restriction, including without limitation the rights to use, copy, modify, +/// merge, publish, distribute, sublicense, and/or sell copies of the Software, and to +/// permit persons to whom the Software is furnished to do so, subject to the following +/// conditions : +/// +/// The above copyright notice and this permission notice shall be included in all copies +/// or substantial portions of the Software. +/// +/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, +/// INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR +/// PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE +/// FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR +/// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER +/// DEALINGS IN THE SOFTWARE. +/// +/// Description +/// matrix svd +/// +#pragma once + +#include + +#include "NumCpp/Core/Internal/StaticAsserts.hpp" +#include "NumCpp/Linalg/svd.hpp" +#include "NumCpp/NdArray.hpp" + +namespace nc::linalg +{ + //============================================================================ + // Method Description: + /// Singular Value Decomposition. + /// + /// NumPy Reference: https://numpy.org/doc/stable/reference/generated/numpy.linalg.svd.html + /// + /// @param inArray: NdArray to be SVDed + /// + /// @returns array of singular values + /// + template + NdArray svdvals(const NdArray& inArray) + { + STATIC_ASSERT_ARITHMETIC(dtype); + + auto u = NdArray{}; + auto s = NdArray{}; + auto vT = NdArray{}; + + svd(inArray, u, s, vT); + + return s; + } +} // namespace nc::linalg diff --git a/test/pytest/src/Linalg.cpp b/test/pytest/src/Linalg.cpp index 42e5c8550..20282e439 100644 --- a/test/pytest/src/Linalg.cpp +++ b/test/pytest/src/Linalg.cpp @@ -55,10 +55,18 @@ namespace LinalgInterface //================================================================================ template - pbArray solve(const NdArray& inA, const NdArray& inB) + pbArrayGeneric solve(const NdArray& inA, const NdArray& inB) { return nc2pybind(linalg::solve(inA, inB)); } + + //================================================================================ + + template + pbArrayGeneric svdvals(const NdArray& inA) + { + return nc2pybind(linalg::svdvals(inA)); + } } // namespace LinalgInterface //================================================================================ @@ -82,4 +90,5 @@ void initLinalg(pb11::module& m) m.def("pivotLU_decomposition", &LinalgInterface::pivotLU_decomposition); m.def("solve", &LinalgInterface::solve); m.def("svd", &linalg::svd); + m.def("svdvals", &LinalgInterface::svdvals); } diff --git a/test/pytest/test_linalg.py b/test/pytest/test_linalg.py index e90f5aff6..327bf2064 100644 --- a/test/pytest/test_linalg.py +++ b/test/pytest/test_linalg.py @@ -49,7 +49,7 @@ def test_eig(): shape = np.random.randint(5, 50, [2,]) data = np.random.randint(0, 100, shape).astype(float) data = np.dot(data, data.T) # real symmetric - cArray = NumCpp.NdArray() + cArray = NumCpp.NdArray(*shape) cArray.setArray(data) cEigenValues, cEigenVectors = NumCpp.eig(cArray) eigenValues, eigenVectors = np.linalg.eig(data) @@ -58,8 +58,8 @@ def test_eig(): for idx, eigenValue in enumerate(cEigenValues.flatten()): eigenVector = cEigenVectors[:, idx] assert np.round(np.linalg.norm(eigenVector), 8) == 1.0 - aTimesV = np.round(np.linalg.norm(np.dot(data, eigenVector)), 6) - assert aTimesV == np.round(eigenValue, 6) + aTimesV = np.round(np.linalg.norm(np.dot(data, eigenVector)), 5) + assert aTimesV == np.round(eigenValue, 5) #################################################################################### @@ -84,6 +84,19 @@ def test_hat(): assert np.array_equal(NumCpp.hat(cArray), hat(data)) +#################################################################################### +def hat(inVec): + mat = np.zeros([3, 3]) + mat[0, 1] = -inVec[2] + mat[0, 2] = inVec[1] + mat[1, 0] = inVec[2] + mat[1, 2] = -inVec[0] + mat[2, 0] = -inVec[1] + mat[2, 1] = inVec[0] + + return mat + + #################################################################################### def test_inv(): max_order = 30 @@ -93,7 +106,7 @@ def test_inv(): cArray = NumCpp.NdArray(shape) data = np.random.randint(1, 100, [order, order]) cArray.setArray(data) - assert np.array_equal(np.round(NumCpp.inv(cArray).getNumpyArray(), 8), np.round(np.linalg.inv(data), 8)) + assert np.array_equal(np.round(NumCpp.inv(cArray).getNumpyArray(), 7), np.round(np.linalg.inv(data), 7)) # test zero on diagnol for order in range(2, max_order): @@ -103,7 +116,7 @@ def test_inv(): idx = np.random.randint(0, order) data[idx, idx] = 0 cArray.setArray(data) - assert np.array_equal(np.round(NumCpp.inv(cArray).getNumpyArray(), 8), np.round(np.linalg.inv(data), 8)) + assert np.array_equal(np.round(NumCpp.inv(cArray).getNumpyArray(), 7), np.round(np.linalg.inv(data), 7)) #################################################################################### @@ -128,8 +141,8 @@ def test_lstsq(): ) aArray.setArray(aData) bArray.setArray(bData) - x = NumCpp.lstsq(aArray, bArray, 1e-12).getNumpyArray().flatten() - assert np.array_equal(np.round(x, 8), np.round(np.linalg.lstsq(aData, bData, rcond=None)[0], 8)) + x = NumCpp.lstsq(aArray, bArray).getNumpyArray().flatten() + assert np.array_equal(np.round(x, 7), np.round(np.linalg.lstsq(aData, bData, rcond=None)[0], 7)), f"{shapeInput}" shapeInput = np.random.randint( 5, @@ -150,8 +163,8 @@ def test_lstsq(): ) aArray.setArray(aData) bArray.setArray(bData) - x = NumCpp.lstsq(aArray, bArray, 1e-12).getNumpyArray() - assert np.array_equal(np.round(x, 8), np.round(np.linalg.lstsq(aData, bData, rcond=None)[0], 8)) + x = NumCpp.lstsq(aArray, bArray).getNumpyArray() + assert np.array_equal(np.round(x, 7), np.round(np.linalg.lstsq(aData, bData, rcond=None)[0], 7)), f"{shapeInput}" #################################################################################### @@ -381,16 +394,16 @@ def test_multi_dot(): def test_pinv(): max_order = 30 - for order in range(1, max_order): + for order in range(10, max_order): shape = NumCpp.Shape(order + 5, order) cArray = NumCpp.NdArray(shape) - data = np.random.randint(1, 100, [order, order]) + data = np.random.randint(1, 100, [shape.rows, shape.cols]) cArray.setArray(data) assert np.array_equal(np.round(NumCpp.pinv(cArray).getNumpyArray(), 8), np.round(np.linalg.pinv(data), 8)) shape = NumCpp.Shape(order, order + 5) cArray = NumCpp.NdArray(shape) - data = np.random.randint(1, 100, [order, order]) + data = np.random.randint(1, 100, [shape.rows, shape.cols]) cArray.setArray(data) assert np.array_equal(np.round(NumCpp.pinv(cArray).getNumpyArray(), 8), np.round(np.linalg.pinv(data), 8)) @@ -407,24 +420,6 @@ def test_pivotLU_decomposition(): rhs = l.dot(u) assert np.array_equal(np.round(lhs, 10), np.round(rhs, 10)) - shapeInput = np.random.randint( - 5, - 50, - [ - 2, - ], - ) - shape = NumCpp.Shape(shapeInput[0].item(), shapeInput[1].item()) - cArray = NumCpp.NdArray(shape) - data = np.random.randint(1, 100, [shape.rows, shape.cols]) - cArray.setArray(data) - uArray = NumCpp.NdArray() - sArray = NumCpp.NdArray() - vArray = NumCpp.NdArray() - NumCpp.svd(cArray, uArray, sArray, vArray) - data2 = np.dot(uArray.getNumpyArray(), np.dot(sArray.getNumpyArray(), vArray.getNumpyArray())) - assert np.array_equal(np.round(data, 8), np.round(data2, 8)) - #################################################################################### def test_solve(): @@ -440,13 +435,45 @@ def test_solve(): #################################################################################### -def hat(inVec): - mat = np.zeros([3, 3]) - mat[0, 1] = -inVec[2] - mat[0, 2] = inVec[1] - mat[1, 0] = inVec[2] - mat[1, 2] = -inVec[0] - mat[2, 0] = -inVec[1] - mat[2, 1] = inVec[0] +def test_svd(): + shape = np.random.randint( + 10, + 50, + [ + 2, + ], + ) + cArray = NumCpp.NdArray(*shape) + data = np.random.randint(1, 100, shape).astype(float) + cArray.setArray(data) + uArray = NumCpp.NdArray() + sArray = NumCpp.NdArray() + vtArray = NumCpp.NdArray() + NumCpp.svd(cArray, uArray, sArray, vtArray) + + u = uArray.getNumpyArray() + s = sArray.getNumpyArray().flatten() + vt = vtArray.getNumpyArray() - return mat + ss = np.zeros(shape) + for i in range(s.size): + ss[i, i] = s[i] + + assert np.array_equal(np.round(np.linalg.multi_dot([u, ss, vt]), 8), data) + + +#################################################################################### +def test_svdvals(): + shape = np.random.randint( + 10, + 50, + [ + 2, + ], + ) + shape = np.array([3, 5]) + data = np.random.randint(1, 100, shape).astype(float) + cArray = NumCpp.NdArray(*shape) + cArray.setArray(data) + + assert np.array_equal(np.round(NumCpp.svdvals(cArray).flatten(), 8), np.round(np.linalg.svdvals(data), 8)) From 1402fd0d3bcc42bb1b5a17ea79601d040bcbf6ba Mon Sep 17 00:00:00 2001 From: David Pilger Date: Sun, 30 Nov 2025 11:33:59 -0700 Subject: [PATCH 4/5] changing version to 2.16.0 --- docs/markdown/Building.md | 4 ++-- docs/markdown/ReleaseNotes.md | 2 +- include/NumCpp/Core/Internal/Version.hpp | 2 +- 3 files changed, 4 insertions(+), 4 deletions(-) diff --git a/docs/markdown/Building.md b/docs/markdown/Building.md index 0d43ad450..3a7f1acf9 100644 --- a/docs/markdown/Building.md +++ b/docs/markdown/Building.md @@ -32,7 +32,7 @@ project("HelloWorld" CXX) add_executable(${PROJECT_NAME} main.cpp) -find_package(NumCpp 2.15.1 REQUIRED) +find_package(NumCpp 2.16.0 REQUIRED) target_link_libraries(${PROJECT_NAME} NumCpp::NumCpp ) @@ -50,7 +50,7 @@ add_executable(${PROJECT_NAME} main.cpp) include(FetchContent) FetchContent_Declare(NumCpp GIT_REPOSITORY https://github.com/dpilger26/NumCpp - GIT_TAG Version_2.15.1) + GIT_TAG Version_2.16.0) FetchContent_MakeAvailable(NumCpp) target_link_libraries(${PROJECT_NAME} diff --git a/docs/markdown/ReleaseNotes.md b/docs/markdown/ReleaseNotes.md index c94cc32c8..4ed21d9ef 100644 --- a/docs/markdown/ReleaseNotes.md +++ b/docs/markdown/ReleaseNotes.md @@ -1,6 +1,6 @@ # Release Notes -## Version 2.15.1 +## Version 2.16.0 * fixed **Issue #144**, `outer` function now operates on arrays of different sizes * fixed **Issue #215**, `pinv` function has been corrected diff --git a/include/NumCpp/Core/Internal/Version.hpp b/include/NumCpp/Core/Internal/Version.hpp index 1184c3698..cbd732b82 100644 --- a/include/NumCpp/Core/Internal/Version.hpp +++ b/include/NumCpp/Core/Internal/Version.hpp @@ -30,5 +30,5 @@ namespace nc { // NOLINTNEXTLINE(cppcoreguidelines-avoid-c-arrays,hicpp-avoid-c-arrays,modernize-avoid-c-arrays) - constexpr char VERSION[] = "2.15.1"; ///< Current NumCpp version number + constexpr char VERSION[] = "2.16.0"; ///< Current NumCpp version number } // namespace nc From 03ffa2062b57993710c1f87a3daaec26f3e4d5d3 Mon Sep 17 00:00:00 2001 From: David Pilger Date: Sun, 30 Nov 2025 11:45:02 -0700 Subject: [PATCH 5/5] regenerated docs --- docs/doxygen/html/_a_e_r_8hpp.html | 2 +- docs/doxygen/html/_a_e_r_8hpp_source.html | 2 +- docs/doxygen/html/_a_e_rto_e_c_e_f_8hpp.html | 2 +- .../html/_a_e_rto_e_c_e_f_8hpp_source.html | 2 +- docs/doxygen/html/_a_e_rto_e_n_u_8hpp.html | 2 +- .../html/_a_e_rto_e_n_u_8hpp_source.html | 2 +- docs/doxygen/html/_a_e_rto_l_l_a_8hpp.html | 2 +- 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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_iteration_8hpp_source.html b/docs/doxygen/html/_iteration_8hpp_source.html index 664e43995..2346fdcea 100644 --- a/docs/doxygen/html/_iteration_8hpp_source.html +++ b/docs/doxygen/html/_iteration_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_a_8hpp.html b/docs/doxygen/html/_l_l_a_8hpp.html index 26fcd3a18..d79a37a9e 100644 --- a/docs/doxygen/html/_l_l_a_8hpp.html +++ b/docs/doxygen/html/_l_l_a_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_a_8hpp_source.html b/docs/doxygen/html/_l_l_a_8hpp_source.html index b46d72759..fbdfa48fc 100644 --- a/docs/doxygen/html/_l_l_a_8hpp_source.html +++ b/docs/doxygen/html/_l_l_a_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_a_e_r_8hpp.html b/docs/doxygen/html/_l_l_ato_a_e_r_8hpp.html index e6b431e64..8c66f0c61 100644 --- a/docs/doxygen/html/_l_l_ato_a_e_r_8hpp.html +++ b/docs/doxygen/html/_l_l_ato_a_e_r_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_a_e_r_8hpp_source.html b/docs/doxygen/html/_l_l_ato_a_e_r_8hpp_source.html index a2184f510..a460a4fdc 100644 --- a/docs/doxygen/html/_l_l_ato_a_e_r_8hpp_source.html +++ b/docs/doxygen/html/_l_l_ato_a_e_r_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_e_c_e_f_8hpp.html b/docs/doxygen/html/_l_l_ato_e_c_e_f_8hpp.html index 79d7fbb9c..605fcb8e5 100644 --- a/docs/doxygen/html/_l_l_ato_e_c_e_f_8hpp.html +++ b/docs/doxygen/html/_l_l_ato_e_c_e_f_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_e_c_e_f_8hpp_source.html b/docs/doxygen/html/_l_l_ato_e_c_e_f_8hpp_source.html index 01a5c88c0..61862c556 100644 --- a/docs/doxygen/html/_l_l_ato_e_c_e_f_8hpp_source.html +++ b/docs/doxygen/html/_l_l_ato_e_c_e_f_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_e_n_u_8hpp.html b/docs/doxygen/html/_l_l_ato_e_n_u_8hpp.html index 2d11df4aa..86405747e 100644 --- a/docs/doxygen/html/_l_l_ato_e_n_u_8hpp.html +++ b/docs/doxygen/html/_l_l_ato_e_n_u_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_e_n_u_8hpp_source.html b/docs/doxygen/html/_l_l_ato_e_n_u_8hpp_source.html index 8ed60fe62..689ea1f8b 100644 --- a/docs/doxygen/html/_l_l_ato_e_n_u_8hpp_source.html +++ b/docs/doxygen/html/_l_l_ato_e_n_u_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_geocentric_8hpp.html b/docs/doxygen/html/_l_l_ato_geocentric_8hpp.html index c267102f3..2addd91f3 100644 --- a/docs/doxygen/html/_l_l_ato_geocentric_8hpp.html +++ b/docs/doxygen/html/_l_l_ato_geocentric_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_geocentric_8hpp_source.html b/docs/doxygen/html/_l_l_ato_geocentric_8hpp_source.html index 0594da155..32a68487a 100644 --- a/docs/doxygen/html/_l_l_ato_geocentric_8hpp_source.html +++ b/docs/doxygen/html/_l_l_ato_geocentric_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_n_e_d_8hpp.html b/docs/doxygen/html/_l_l_ato_n_e_d_8hpp.html index 58c87d5d8..7ddb69722 100644 --- a/docs/doxygen/html/_l_l_ato_n_e_d_8hpp.html +++ b/docs/doxygen/html/_l_l_ato_n_e_d_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_l_l_ato_n_e_d_8hpp_source.html b/docs/doxygen/html/_l_l_ato_n_e_d_8hpp_source.html index 1b9d8c907..2924e0546 100644 --- a/docs/doxygen/html/_l_l_ato_n_e_d_8hpp_source.html +++ b/docs/doxygen/html/_l_l_ato_n_e_d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_linalg_8hpp.html b/docs/doxygen/html/_linalg_8hpp.html index c6fbbef60..a14db6d97 100644 --- a/docs/doxygen/html/_linalg_8hpp.html +++ b/docs/doxygen/html/_linalg_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -119,6 +119,8 @@
#include "NumCpp/Linalg/cholesky.hpp"
#include "NumCpp/Linalg/det.hpp"
+#include "NumCpp/Linalg/eig.hpp"
+#include "NumCpp/Linalg/eigvals.hpp"
#include "NumCpp/Linalg/gaussNewtonNlls.hpp"
#include "NumCpp/Linalg/hat.hpp"
#include "NumCpp/Linalg/inv.hpp"
@@ -130,6 +132,7 @@ #include "NumCpp/Linalg/pivotLU_decomposition.hpp"
#include "NumCpp/Linalg/solve.hpp"
#include "NumCpp/Linalg/svd.hpp"
+#include "NumCpp/Linalg/svdvals.hpp"

Go to the source code of this file.

Detailed Description

diff --git a/docs/doxygen/html/_linalg_8hpp_source.html b/docs/doxygen/html/_linalg_8hpp_source.html index d2dd5d896..b5f268388 100644 --- a/docs/doxygen/html/_linalg_8hpp_source.html +++ b/docs/doxygen/html/_linalg_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -127,19 +127,24 @@
29
30#include "NumCpp/Linalg/cholesky.hpp"
31#include "NumCpp/Linalg/det.hpp"
-
32#include "NumCpp/Linalg/gaussNewtonNlls.hpp"
-
33#include "NumCpp/Linalg/hat.hpp"
-
34#include "NumCpp/Linalg/inv.hpp"
-
35#include "NumCpp/Linalg/lstsq.hpp"
-
36#include "NumCpp/Linalg/lu_decomposition.hpp"
-
37#include "NumCpp/Linalg/matrix_power.hpp"
-
38#include "NumCpp/Linalg/multi_dot.hpp"
-
39#include "NumCpp/Linalg/pinv.hpp"
-
40#include "NumCpp/Linalg/pivotLU_decomposition.hpp"
-
41#include "NumCpp/Linalg/solve.hpp"
-
42#include "NumCpp/Linalg/svd.hpp"
+
32#include "NumCpp/Linalg/eig.hpp"
+
33#include "NumCpp/Linalg/eigvals.hpp"
+
34#include "NumCpp/Linalg/gaussNewtonNlls.hpp"
+
35#include "NumCpp/Linalg/hat.hpp"
+
36#include "NumCpp/Linalg/inv.hpp"
+
37#include "NumCpp/Linalg/lstsq.hpp"
+
38#include "NumCpp/Linalg/lu_decomposition.hpp"
+
39#include "NumCpp/Linalg/matrix_power.hpp"
+
40#include "NumCpp/Linalg/multi_dot.hpp"
+
41#include "NumCpp/Linalg/pinv.hpp"
+
42#include "NumCpp/Linalg/pivotLU_decomposition.hpp"
+
43#include "NumCpp/Linalg/solve.hpp"
+
44#include "NumCpp/Linalg/svd.hpp"
+
45#include "NumCpp/Linalg/svdvals.hpp"
+ + @@ -151,6 +156,7 @@
pivotLU_decomposition.hpp
+
diff --git a/docs/doxygen/html/_logger_8hpp.html b/docs/doxygen/html/_logger_8hpp.html index 623f2fc46..96238ac81 100644 --- a/docs/doxygen/html/_logger_8hpp.html +++ b/docs/doxygen/html/_logger_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_logger_8hpp_source.html b/docs/doxygen/html/_logger_8hpp_source.html index 8881cc83e..42885de7e 100644 --- a/docs/doxygen/html/_logger_8hpp_source.html +++ b/docs/doxygen/html/_logger_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_logging_8hpp.html b/docs/doxygen/html/_logging_8hpp.html index 12df20010..d3f9a7071 100644 --- a/docs/doxygen/html/_logging_8hpp.html +++ b/docs/doxygen/html/_logging_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_logging_8hpp_source.html b/docs/doxygen/html/_logging_8hpp_source.html index 42cea9fe8..62799fcbc 100644 --- a/docs/doxygen/html/_logging_8hpp_source.html +++ b/docs/doxygen/html/_logging_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_d_8hpp.html b/docs/doxygen/html/_n_e_d_8hpp.html index 16344a41d..43e1542dd 100644 --- a/docs/doxygen/html/_n_e_d_8hpp.html +++ b/docs/doxygen/html/_n_e_d_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_d_8hpp_source.html b/docs/doxygen/html/_n_e_d_8hpp_source.html index 82e8638be..d306393b0 100644 --- a/docs/doxygen/html/_n_e_d_8hpp_source.html +++ b/docs/doxygen/html/_n_e_d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_d_roll_pitch_yaw_to_e_c_e_f_euler_8hpp.html b/docs/doxygen/html/_n_e_d_roll_pitch_yaw_to_e_c_e_f_euler_8hpp.html index 36b229dc4..f1b9df958 100644 --- a/docs/doxygen/html/_n_e_d_roll_pitch_yaw_to_e_c_e_f_euler_8hpp.html +++ b/docs/doxygen/html/_n_e_d_roll_pitch_yaw_to_e_c_e_f_euler_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_d_roll_pitch_yaw_to_e_c_e_f_euler_8hpp_source.html b/docs/doxygen/html/_n_e_d_roll_pitch_yaw_to_e_c_e_f_euler_8hpp_source.html index b18c1aed1..b41439bbc 100644 --- a/docs/doxygen/html/_n_e_d_roll_pitch_yaw_to_e_c_e_f_euler_8hpp_source.html +++ b/docs/doxygen/html/_n_e_d_roll_pitch_yaw_to_e_c_e_f_euler_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_d_unit_vecs_in_e_c_e_f_8hpp.html b/docs/doxygen/html/_n_e_d_unit_vecs_in_e_c_e_f_8hpp.html index 844fa8d3d..283bf8a64 100644 --- a/docs/doxygen/html/_n_e_d_unit_vecs_in_e_c_e_f_8hpp.html +++ b/docs/doxygen/html/_n_e_d_unit_vecs_in_e_c_e_f_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_d_unit_vecs_in_e_c_e_f_8hpp_source.html b/docs/doxygen/html/_n_e_d_unit_vecs_in_e_c_e_f_8hpp_source.html index 0a5525f1e..21105d017 100644 --- a/docs/doxygen/html/_n_e_d_unit_vecs_in_e_c_e_f_8hpp_source.html +++ b/docs/doxygen/html/_n_e_d_unit_vecs_in_e_c_e_f_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_dto_a_e_r_8hpp.html b/docs/doxygen/html/_n_e_dto_a_e_r_8hpp.html index 24fd98c18..1dbf5dd8c 100644 --- a/docs/doxygen/html/_n_e_dto_a_e_r_8hpp.html +++ b/docs/doxygen/html/_n_e_dto_a_e_r_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_dto_a_e_r_8hpp_source.html b/docs/doxygen/html/_n_e_dto_a_e_r_8hpp_source.html index 380166a72..62d401605 100644 --- a/docs/doxygen/html/_n_e_dto_a_e_r_8hpp_source.html +++ b/docs/doxygen/html/_n_e_dto_a_e_r_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_dto_e_c_e_f_8hpp.html b/docs/doxygen/html/_n_e_dto_e_c_e_f_8hpp.html index 45259fa1d..89c95112d 100644 --- a/docs/doxygen/html/_n_e_dto_e_c_e_f_8hpp.html +++ b/docs/doxygen/html/_n_e_dto_e_c_e_f_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_dto_e_c_e_f_8hpp_source.html b/docs/doxygen/html/_n_e_dto_e_c_e_f_8hpp_source.html index bfb2a4d20..05502cba4 100644 --- a/docs/doxygen/html/_n_e_dto_e_c_e_f_8hpp_source.html +++ b/docs/doxygen/html/_n_e_dto_e_c_e_f_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_dto_e_n_u_8hpp.html b/docs/doxygen/html/_n_e_dto_e_n_u_8hpp.html index 94080953d..669534d75 100644 --- a/docs/doxygen/html/_n_e_dto_e_n_u_8hpp.html +++ b/docs/doxygen/html/_n_e_dto_e_n_u_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_dto_e_n_u_8hpp_source.html b/docs/doxygen/html/_n_e_dto_e_n_u_8hpp_source.html index 749aee2ed..daddee016 100644 --- a/docs/doxygen/html/_n_e_dto_e_n_u_8hpp_source.html +++ b/docs/doxygen/html/_n_e_dto_e_n_u_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_dto_l_l_a_8hpp.html b/docs/doxygen/html/_n_e_dto_l_l_a_8hpp.html index 317972e4b..2f51fe410 100644 --- a/docs/doxygen/html/_n_e_dto_l_l_a_8hpp.html +++ b/docs/doxygen/html/_n_e_dto_l_l_a_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_n_e_dto_l_l_a_8hpp_source.html b/docs/doxygen/html/_n_e_dto_l_l_a_8hpp_source.html index 3222d6015..50db39b93 100644 --- a/docs/doxygen/html/_n_e_dto_l_l_a_8hpp_source.html +++ b/docs/doxygen/html/_n_e_dto_l_l_a_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_8hpp.html b/docs/doxygen/html/_nd_array_8hpp.html index a0f948de1..7f275aca9 100644 --- a/docs/doxygen/html/_nd_array_8hpp.html +++ b/docs/doxygen/html/_nd_array_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_8hpp_source.html b/docs/doxygen/html/_nd_array_8hpp_source.html index 1deffe0a4..33ba385c0 100644 --- a/docs/doxygen/html/_nd_array_8hpp_source.html +++ b/docs/doxygen/html/_nd_array_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_broadcast_8hpp.html b/docs/doxygen/html/_nd_array_broadcast_8hpp.html index 917cbc7c1..1c379f681 100644 --- a/docs/doxygen/html/_nd_array_broadcast_8hpp.html +++ b/docs/doxygen/html/_nd_array_broadcast_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_broadcast_8hpp_source.html b/docs/doxygen/html/_nd_array_broadcast_8hpp_source.html index 3b8304b78..c6519ec0f 100644 --- a/docs/doxygen/html/_nd_array_broadcast_8hpp_source.html +++ b/docs/doxygen/html/_nd_array_broadcast_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_core_8hpp.html b/docs/doxygen/html/_nd_array_core_8hpp.html index 7475366ee..4be7a291c 100644 --- a/docs/doxygen/html/_nd_array_core_8hpp.html +++ b/docs/doxygen/html/_nd_array_core_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_core_8hpp_source.html b/docs/doxygen/html/_nd_array_core_8hpp_source.html index 0db5b994f..662784871 100644 --- a/docs/doxygen/html/_nd_array_core_8hpp_source.html +++ b/docs/doxygen/html/_nd_array_core_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_iterators_8hpp.html b/docs/doxygen/html/_nd_array_iterators_8hpp.html index d18184afa..52ddfeedf 100644 --- a/docs/doxygen/html/_nd_array_iterators_8hpp.html +++ b/docs/doxygen/html/_nd_array_iterators_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_iterators_8hpp_source.html b/docs/doxygen/html/_nd_array_iterators_8hpp_source.html index 4211488b0..589fb47f3 100644 --- a/docs/doxygen/html/_nd_array_iterators_8hpp_source.html +++ b/docs/doxygen/html/_nd_array_iterators_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_operators_8hpp.html b/docs/doxygen/html/_nd_array_operators_8hpp.html index ec9adc884..4d7d1dc30 100644 --- a/docs/doxygen/html/_nd_array_operators_8hpp.html +++ b/docs/doxygen/html/_nd_array_operators_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_nd_array_operators_8hpp_source.html b/docs/doxygen/html/_nd_array_operators_8hpp_source.html index 14ff9e6bc..c8e251ad7 100644 --- a/docs/doxygen/html/_nd_array_operators_8hpp_source.html +++ b/docs/doxygen/html/_nd_array_operators_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_newton_8hpp.html b/docs/doxygen/html/_newton_8hpp.html index 66798ed10..ebea19998 100644 --- a/docs/doxygen/html/_newton_8hpp.html +++ b/docs/doxygen/html/_newton_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_newton_8hpp_source.html b/docs/doxygen/html/_newton_8hpp_source.html index be78e062f..f90b4bf65 100644 --- a/docs/doxygen/html/_newton_8hpp_source.html +++ b/docs/doxygen/html/_newton_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_num_cpp_8hpp.html b/docs/doxygen/html/_num_cpp_8hpp.html index ce3057a2c..ad1991fd4 100644 --- a/docs/doxygen/html/_num_cpp_8hpp.html +++ b/docs/doxygen/html/_num_cpp_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_num_cpp_8hpp_source.html b/docs/doxygen/html/_num_cpp_8hpp_source.html index 118785959..75315e98c 100644 --- a/docs/doxygen/html/_num_cpp_8hpp_source.html +++ b/docs/doxygen/html/_num_cpp_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_orientation_8hpp.html b/docs/doxygen/html/_orientation_8hpp.html index f3437699d..f8d7398c5 100644 --- a/docs/doxygen/html/_orientation_8hpp.html +++ b/docs/doxygen/html/_orientation_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_orientation_8hpp_source.html b/docs/doxygen/html/_orientation_8hpp_source.html index 86c877d4f..68c0bc33e 100644 --- a/docs/doxygen/html/_orientation_8hpp_source.html +++ b/docs/doxygen/html/_orientation_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_pixel_8hpp.html b/docs/doxygen/html/_pixel_8hpp.html index 972f06f53..8ba31deec 100644 --- a/docs/doxygen/html/_pixel_8hpp.html +++ b/docs/doxygen/html/_pixel_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_pixel_8hpp_source.html b/docs/doxygen/html/_pixel_8hpp_source.html index f1d98a657..9e59bb7fe 100644 --- a/docs/doxygen/html/_pixel_8hpp_source.html +++ b/docs/doxygen/html/_pixel_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_poly1d_8hpp.html b/docs/doxygen/html/_poly1d_8hpp.html index cec7842d8..ab213896a 100644 --- a/docs/doxygen/html/_poly1d_8hpp.html +++ b/docs/doxygen/html/_poly1d_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_poly1d_8hpp_source.html b/docs/doxygen/html/_poly1d_8hpp_source.html index af70c9fc5..19e1d24a2 100644 --- a/docs/doxygen/html/_poly1d_8hpp_source.html +++ b/docs/doxygen/html/_poly1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_polynomial_8hpp.html b/docs/doxygen/html/_polynomial_8hpp.html index 0e48e9fbf..19757e9c0 100644 --- a/docs/doxygen/html/_polynomial_8hpp.html +++ b/docs/doxygen/html/_polynomial_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_polynomial_8hpp_source.html b/docs/doxygen/html/_polynomial_8hpp_source.html index 7a005e262..097f73173 100644 --- a/docs/doxygen/html/_polynomial_8hpp_source.html +++ b/docs/doxygen/html/_polynomial_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_pybind_interface_8hpp.html b/docs/doxygen/html/_pybind_interface_8hpp.html index 7c7e9799c..c504bd219 100644 --- a/docs/doxygen/html/_pybind_interface_8hpp.html +++ b/docs/doxygen/html/_pybind_interface_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_pybind_interface_8hpp_source.html b/docs/doxygen/html/_pybind_interface_8hpp_source.html index 40b0bb55e..6a6570894 100644 --- a/docs/doxygen/html/_pybind_interface_8hpp_source.html +++ b/docs/doxygen/html/_pybind_interface_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_python_interface_8hpp.html b/docs/doxygen/html/_python_interface_8hpp.html index f98de3a04..44b19e1bd 100644 --- a/docs/doxygen/html/_python_interface_8hpp.html +++ b/docs/doxygen/html/_python_interface_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_python_interface_8hpp_source.html b/docs/doxygen/html/_python_interface_8hpp_source.html index e746070a0..e2fc17486 100644 --- a/docs/doxygen/html/_python_interface_8hpp_source.html +++ b/docs/doxygen/html/_python_interface_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_quaternion_8hpp.html b/docs/doxygen/html/_quaternion_8hpp.html index 0229ef606..bf894ee4f 100644 --- a/docs/doxygen/html/_quaternion_8hpp.html +++ b/docs/doxygen/html/_quaternion_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_quaternion_8hpp_source.html b/docs/doxygen/html/_quaternion_8hpp_source.html index e24d7ce71..676a6ab51 100644 --- a/docs/doxygen/html/_quaternion_8hpp_source.html +++ b/docs/doxygen/html/_quaternion_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_r_e_a_d_m_e_8md.html b/docs/doxygen/html/_r_e_a_d_m_e_8md.html index fa9541c30..0658321a1 100644 --- a/docs/doxygen/html/_r_e_a_d_m_e_8md.html +++ b/docs/doxygen/html/_r_e_a_d_m_e_8md.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_r_n_g_8hpp.html b/docs/doxygen/html/_r_n_g_8hpp.html index 5de52d9c0..21a29b9e9 100644 --- a/docs/doxygen/html/_r_n_g_8hpp.html +++ b/docs/doxygen/html/_r_n_g_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_r_n_g_8hpp_source.html b/docs/doxygen/html/_r_n_g_8hpp_source.html index fc7d6fde2..35f8db93a 100644 --- a/docs/doxygen/html/_r_n_g_8hpp_source.html +++ b/docs/doxygen/html/_r_n_g_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_2bernoulli_8hpp.html b/docs/doxygen/html/_random_2bernoulli_8hpp.html index c148245f4..30d2059f2 100644 --- a/docs/doxygen/html/_random_2bernoulli_8hpp.html +++ b/docs/doxygen/html/_random_2bernoulli_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_2bernoulli_8hpp_source.html b/docs/doxygen/html/_random_2bernoulli_8hpp_source.html index 883131911..684081a5b 100644 --- a/docs/doxygen/html/_random_2bernoulli_8hpp_source.html +++ b/docs/doxygen/html/_random_2bernoulli_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_2beta_8hpp.html b/docs/doxygen/html/_random_2beta_8hpp.html index 0b6b9291e..0b9795323 100644 --- a/docs/doxygen/html/_random_2beta_8hpp.html +++ b/docs/doxygen/html/_random_2beta_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_2beta_8hpp_source.html b/docs/doxygen/html/_random_2beta_8hpp_source.html index 81127a183..7c6fbf603 100644 --- a/docs/doxygen/html/_random_2beta_8hpp_source.html +++ b/docs/doxygen/html/_random_2beta_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_2gamma_8hpp.html b/docs/doxygen/html/_random_2gamma_8hpp.html index a7b5b6680..14a05d42e 100644 --- a/docs/doxygen/html/_random_2gamma_8hpp.html +++ b/docs/doxygen/html/_random_2gamma_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_2gamma_8hpp_source.html b/docs/doxygen/html/_random_2gamma_8hpp_source.html index cb3f518d5..dac525fb3 100644 --- a/docs/doxygen/html/_random_2gamma_8hpp_source.html +++ b/docs/doxygen/html/_random_2gamma_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_2laplace_8hpp.html b/docs/doxygen/html/_random_2laplace_8hpp.html index 02577955b..f026d4546 100644 --- a/docs/doxygen/html/_random_2laplace_8hpp.html +++ b/docs/doxygen/html/_random_2laplace_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_2laplace_8hpp_source.html b/docs/doxygen/html/_random_2laplace_8hpp_source.html index b126791f1..89c9ab4fe 100644 --- a/docs/doxygen/html/_random_2laplace_8hpp_source.html +++ b/docs/doxygen/html/_random_2laplace_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_8hpp.html b/docs/doxygen/html/_random_8hpp.html index e3a2df48a..8ddc353ab 100644 --- a/docs/doxygen/html/_random_8hpp.html +++ b/docs/doxygen/html/_random_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_random_8hpp_source.html b/docs/doxygen/html/_random_8hpp_source.html index 1924a89e1..bb52556ee 100644 --- a/docs/doxygen/html/_random_8hpp_source.html +++ b/docs/doxygen/html/_random_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_read_me_8cpp-example.html b/docs/doxygen/html/_read_me_8cpp-example.html index 084f37bdb..a91df4094 100644 --- a/docs/doxygen/html/_read_me_8cpp-example.html +++ b/docs/doxygen/html/_read_me_8cpp-example.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -295,14 +295,14 @@
auto a75 = nc::random::randInt<int>({ 1, 4 }, 0, 10);
[[maybe_unused]] auto value9 = nc::linalg::det(a73);
auto a76 = nc::linalg::inv(a73);
-
auto a77 = nc::linalg::lstsq(a74, a75);
+
auto a77 = nc::linalg::lstsq(a74, a75);
auto a78 = nc::linalg::matrix_power<int>(a73, 3);
auto a79 = nc::linalg::multi_dot<int>({ a, b.transpose(), c });
nc::NdArray<double> u;
nc::NdArray<double> s;
nc::NdArray<double> vt;
-
nc::linalg::svd(a.astype<double>(), u, s, vt);
+
nc::linalg::svd(a.astype<double>(), u, s, vt);
return 0;
}
@@ -313,9 +313,9 @@
nc::constants::pi
constexpr double pi
Pi.
Definition Core/Constants.hpp:39
nc::constants::nan
const double nan
NaN.
Definition Core/Constants.hpp:41
nc::linalg::inv
NdArray< double > inv(const NdArray< dtype > &inArray)
Definition inv.hpp:54
+
nc::linalg::svd
void svd(const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVT)
Definition svd.hpp:51
nc::linalg::det
auto det(const NdArray< dtype > &inArray)
Definition det.hpp:131
-
nc::linalg::lstsq
NdArray< double > lstsq(const NdArray< dtype > &inA, const NdArray< dtype > &inB, double inTolerance=1e-12)
Definition lstsq.hpp:58
-
nc::linalg::svd
void svd(const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVt)
Definition svd.hpp:51
+
nc::linalg::lstsq
NdArray< double > lstsq(const NdArray< dtype > &inA, const NdArray< dtype > &inB)
Definition lstsq.hpp:57
nc::random::seed
void seed(int inSeed)
Definition generator.hpp:46
nc::random::choice
dtype choice(const NdArray< dtype > &inArray)
Definition choice.hpp:102
nc::triu
NdArray< dtype > triu(uint32 inN, uint32 inM, int32 inOffset=0)
Definition tri.hpp:175
diff --git a/docs/doxygen/html/_reference_frames_8hpp.html b/docs/doxygen/html/_reference_frames_8hpp.html index 9e8aec8c1..45d7e218e 100644 --- a/docs/doxygen/html/_reference_frames_8hpp.html +++ b/docs/doxygen/html/_reference_frames_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_reference_frames_8hpp_source.html b/docs/doxygen/html/_reference_frames_8hpp_source.html index 422194a9c..3c6c4cd83 100644 --- a/docs/doxygen/html/_reference_frames_8hpp_source.html +++ b/docs/doxygen/html/_reference_frames_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_release_notes_8md.html b/docs/doxygen/html/_release_notes_8md.html index 6254cada2..b6afffd59 100644 --- a/docs/doxygen/html/_release_notes_8md.html +++ b/docs/doxygen/html/_release_notes_8md.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_roots_8hpp.html b/docs/doxygen/html/_roots_8hpp.html index 82810c04c..1d93050b7 100644 --- a/docs/doxygen/html/_roots_8hpp.html +++ b/docs/doxygen/html/_roots_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_roots_8hpp_source.html b/docs/doxygen/html/_roots_8hpp_source.html index 3d19100f9..da43c9819 100644 --- a/docs/doxygen/html/_roots_8hpp_source.html +++ b/docs/doxygen/html/_roots_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_rotations_8hpp.html b/docs/doxygen/html/_rotations_8hpp.html index 4b2c03527..9f5ab18ba 100644 --- a/docs/doxygen/html/_rotations_8hpp.html +++ b/docs/doxygen/html/_rotations_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_rotations_8hpp_source.html b/docs/doxygen/html/_rotations_8hpp_source.html index e0fd4b4a3..8d84259a0 100644 --- a/docs/doxygen/html/_rotations_8hpp_source.html +++ b/docs/doxygen/html/_rotations_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_s_v_d_class_8hpp.js b/docs/doxygen/html/_s_v_d_class_8hpp.js deleted file mode 100644 index 156deccf0..000000000 --- a/docs/doxygen/html/_s_v_d_class_8hpp.js +++ /dev/null @@ -1,4 +0,0 @@ -var _s_v_d_class_8hpp = -[ - [ "nc::linalg::SVD", "classnc_1_1linalg_1_1_s_v_d.html", "classnc_1_1linalg_1_1_s_v_d" ] -]; \ No newline at end of file diff --git a/docs/doxygen/html/_s_v_d_class_8hpp_source.html b/docs/doxygen/html/_s_v_d_class_8hpp_source.html deleted file mode 100644 index f4ccd22be..000000000 --- a/docs/doxygen/html/_s_v_d_class_8hpp_source.html +++ /dev/null @@ -1,746 +0,0 @@ - - - - - - - - - NumCpp: SVDClass.hpp Source File - - - - - - - - - - - - - - - - - - - - - - - - -
- -
- - - - - - - -
-
NumCpp -  2.15.0 -
-
A Templatized Header Only C++ Implementation of the Python NumPy Library
-
-
- - - - - - - -
-
- -
-
-
- -
- -
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SVDClass.hpp
-
-
-Go to the documentation of this file.
1
-
29#pragma once
-
30
-
31#include <cmath>
-
32#include <limits>
-
33#include <string>
-
34
-
35#include "NumCpp/Core/Internal/Error.hpp"
-
36#include "NumCpp/Core/Types.hpp"
-
37#include "NumCpp/NdArray.hpp"
-
38#include "NumCpp/Utils/essentiallyEqual.hpp"
-
39
-
40namespace nc::linalg
-
41{
-
42 // =============================================================================
-
43 // Class Description:
-
-
46 class SVD
-
47 {
-
48 public:
-
49 // =============================================================================
-
50 // Description:
-
-
55 explicit SVD(const NdArray<double>& inMatrix) :
-
56 m_(inMatrix.shape().rows),
-
57 n_(inMatrix.shape().cols),
-
58 u_(inMatrix),
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59 v_(n_, n_),
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60 s_(1, n_),
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61 eps_(std::numeric_limits<double>::epsilon())
-
62 {
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63 decompose();
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64 reorder();
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65 tsh_ = 0.5 * std::sqrt(m_ + n_ + 1.) * s_.front() * eps_;
-
66 }
-
-
67
-
68 // =============================================================================
-
69 // Description:
-
-
74 const NdArray<double>& u() noexcept
-
75 {
-
76 return u_;
-
77 }
-
-
78
-
79 // =============================================================================
-
80 // Description:
-
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85 const NdArray<double>& v() noexcept
-
86 {
-
87 return v_;
-
88 }
-
-
89
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90 // =============================================================================
-
91 // Description:
-
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96 const NdArray<double>& s() noexcept
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97 {
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98 return s_;
-
99 }
-
-
100
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101 // =============================================================================
-
102 // Description:
-
-
110 NdArray<double> solve(const NdArray<double>& inInput, double inThresh = -1.)
-
111 {
-
112 double ss{};
-
113
-
114 if (inInput.size() != m_)
-
115 {
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116 THROW_INVALID_ARGUMENT_ERROR("Invalid matrix dimensions");
-
117 }
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118
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119 NdArray<double> returnArray(1, n_);
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120
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121 NdArray<double> tmp(1, n_);
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122
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123 tsh_ = (inThresh >= 0. ? inThresh : 0.5 * sqrt(m_ + n_ + 1.) * s_.front() * eps_);
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124
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125 for (uint32 j = 0; j < n_; j++)
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126 {
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127 ss = 0.;
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128 if (s_[j] > tsh_)
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129 {
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130 for (uint32 i = 0; i < m_; i++)
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131 {
-
132 ss += u_(i, j) * inInput[i];
-
133 }
-
134 ss /= s_[j];
-
135 }
-
136 tmp[j] = ss;
-
137 }
-
138
-
139 for (uint32 j = 0; j < n_; j++)
-
140 {
-
141 ss = 0.;
-
142 for (uint32 jj = 0; jj < n_; jj++)
-
143 {
-
144 ss += v_(j, jj) * tmp[jj];
-
145 }
-
146
-
147 returnArray[j] = ss;
-
148 }
-
149
-
150 return returnArray;
-
151 }
-
-
152
-
153 private:
-
154 // =============================================================================
-
155 // Description:
-
163 static double SIGN(double inA, double inB) noexcept
-
164 {
-
165 return inB >= 0 ? (inA >= 0 ? inA : -inA) : (inA >= 0 ? -inA : inA);
-
166 }
-
167
-
168 // =============================================================================
-
169 // Description:
-
172 void decompose()
-
173 {
-
174 bool flag{};
-
175 uint32 i{};
-
176 uint32 its{};
-
177 uint32 j{};
-
178 uint32 jj{};
-
179 uint32 k{};
-
180 uint32 l{};
-
181 uint32 nm{};
-
182
-
183 double anorm{};
-
184 double c{};
-
185 double f{};
-
186 double g{};
-
187 double h{};
-
188 double ss{};
-
189 double scale{};
-
190 double x{};
-
191 double y{};
-
192 double z{};
-
193
-
194 NdArray<double> rv1(n_, 1);
-
195
-
196 for (i = 0; i < n_; ++i)
-
197 {
-
198 l = i + 2;
-
199 rv1[i] = scale * g;
-
200 g = ss = scale = 0.;
-
201
-
202 if (i < m_)
-
203 {
-
204 for (k = i; k < m_; ++k)
-
205 {
-
206 scale += std::abs(u_(k, i));
-
207 }
-
208
-
209 if (!utils::essentiallyEqual(scale, 0.))
-
210 {
-
211 for (k = i; k < m_; ++k)
-
212 {
-
213 u_(k, i) /= scale;
-
214 ss += u_(k, i) * u_(k, i);
-
215 }
-
216
-
217 f = u_(i, i);
-
218 g = -SIGN(std::sqrt(ss), f);
-
219 h = f * g - ss;
-
220 u_(i, i) = f - g;
-
221
-
222 for (j = l - 1; j < n_; ++j)
-
223 {
-
224 for (ss = 0., k = i; k < m_; ++k)
-
225 {
-
226 ss += u_(k, i) * u_(k, j);
-
227 }
-
228
-
229 f = ss / h;
-
230
-
231 for (k = i; k < m_; ++k)
-
232 {
-
233 u_(k, j) += f * u_(k, i);
-
234 }
-
235 }
-
236
-
237 for (k = i; k < m_; ++k)
-
238 {
-
239 u_(k, i) *= scale;
-
240 }
-
241 }
-
242 }
-
243
-
244 s_[i] = scale * g;
-
245 g = ss = scale = 0.;
-
246
-
247 if (i + 1 <= m_ && i + 1 != n_)
-
248 {
-
249 for (k = l - 1; k < n_; ++k)
-
250 {
-
251 scale += std::abs(u_(i, k));
-
252 }
-
253
-
254 if (!utils::essentiallyEqual(scale, 0.))
-
255 {
-
256 for (k = l - 1; k < n_; ++k)
-
257 {
-
258 u_(i, k) /= scale;
-
259 ss += u_(i, k) * u_(i, k);
-
260 }
-
261
-
262 f = u_(i, l - 1);
-
263 g = -SIGN(std::sqrt(ss), f);
-
264 h = f * g - ss;
-
265 u_(i, l - 1) = f - g;
-
266
-
267 for (k = l - 1; k < n_; ++k)
-
268 {
-
269 rv1[k] = u_(i, k) / h;
-
270 }
-
271
-
272 for (j = l - 1; j < m_; ++j)
-
273 {
-
274 for (ss = 0., k = l - 1; k < n_; ++k)
-
275 {
-
276 ss += u_(j, k) * u_(i, k);
-
277 }
-
278
-
279 for (k = l - 1; k < n_; ++k)
-
280 {
-
281 u_(j, k) += ss * rv1[k];
-
282 }
-
283 }
-
284
-
285 for (k = l - 1; k < n_; ++k)
-
286 {
-
287 u_(i, k) *= scale;
-
288 }
-
289 }
-
290 }
-
291
-
292 anorm = std::max(anorm, (std::abs(s_[i]) + std::abs(rv1[i])));
-
293 }
-
294
-
295 for (i = n_ - 1; i != static_cast<uint32>(-1); --i)
-
296 {
-
297 if (i < n_ - 1)
-
298 {
-
299 if (!utils::essentiallyEqual(g, 0.))
-
300 {
-
301 for (j = l; j < n_; ++j)
-
302 {
-
303 v_(j, i) = (u_(i, j) / u_(i, l)) / g;
-
304 }
-
305
-
306 for (j = l; j < n_; ++j)
-
307 {
-
308 for (ss = 0., k = l; k < n_; ++k)
-
309 {
-
310 ss += u_(i, k) * v_(k, j);
-
311 }
-
312
-
313 for (k = l; k < n_; ++k)
-
314 {
-
315 v_(k, j) += ss * v_(k, i);
-
316 }
-
317 }
-
318 }
-
319
-
320 for (j = l; j < n_; ++j)
-
321 {
-
322 v_(i, j) = v_(j, i) = 0.;
-
323 }
-
324 }
-
325
-
326 v_(i, i) = 1.;
-
327 g = rv1[i];
-
328 l = i;
-
329 }
-
330
-
331 for (i = std::min(m_, n_) - 1; i != static_cast<uint32>(-1); --i)
-
332 {
-
333 l = i + 1;
-
334 g = s_[i];
-
335
-
336 for (j = l; j < n_; ++j)
-
337 {
-
338 u_(i, j) = 0.;
-
339 }
-
340
-
341 if (!utils::essentiallyEqual(g, 0.))
-
342 {
-
343 g = 1. / g;
-
344
-
345 for (j = l; j < n_; ++j)
-
346 {
-
347 for (ss = 0., k = l; k < m_; ++k)
-
348 {
-
349 ss += u_(k, i) * u_(k, j);
-
350 }
-
351
-
352 f = (ss / u_(i, i)) * g;
-
353
-
354 for (k = i; k < m_; ++k)
-
355 {
-
356 u_(k, j) += f * u_(k, i);
-
357 }
-
358 }
-
359
-
360 for (j = i; j < m_; ++j)
-
361 {
-
362 u_(j, i) *= g;
-
363 }
-
364 }
-
365 else
-
366 {
-
367 for (j = i; j < m_; ++j)
-
368 {
-
369 u_(j, i) = 0.;
-
370 }
-
371 }
-
372
-
373 ++u_(i, i);
-
374 }
-
375
-
376 for (k = n_ - 1; k != static_cast<uint32>(-1); --k)
-
377 {
-
378 for (its = 0; its < 30; ++its)
-
379 {
-
380 flag = true;
-
381 for (l = k; l != static_cast<uint32>(-1); --l)
-
382 {
-
383 nm = l - 1;
-
384 if (l == 0 || std::abs(rv1[l]) <= eps_ * anorm)
-
385 {
-
386 flag = false;
-
387 break;
-
388 }
-
389
-
390 if (std::abs(s_[nm]) <= eps_ * anorm)
-
391 {
-
392 break;
-
393 }
-
394 }
-
395
-
396 if (flag)
-
397 {
-
398 c = 0.;
-
399 ss = 1.;
-
400 for (i = l; i < k + 1; ++i)
-
401 {
-
402 f = ss * rv1[i];
-
403 rv1[i] = c * rv1[i];
-
404
-
405 if (std::abs(f) <= eps_ * anorm)
-
406 {
-
407 break;
-
408 }
-
409
-
410 g = s_[i];
-
411 h = pythag(f, g);
-
412 s_[i] = h;
-
413 h = 1. / h;
-
414 c = g * h;
-
415 ss = -f * h;
-
416
-
417 for (j = 0; j < m_; ++j)
-
418 {
-
419 y = u_(j, nm);
-
420 z = u_(j, i);
-
421 u_(j, nm) = y * c + z * ss;
-
422 u_(j, i) = z * c - y * ss;
-
423 }
-
424 }
-
425 }
-
426
-
427 z = s_[k];
-
428 if (l == k)
-
429 {
-
430 if (z < 0.)
-
431 {
-
432 s_[k] = -z;
-
433 for (j = 0; j < n_; ++j)
-
434 {
-
435 v_(j, k) = -v_(j, k);
-
436 }
-
437 }
-
438 break;
-
439 }
-
440
-
441 if (its == 29)
-
442 {
-
443 THROW_INVALID_ARGUMENT_ERROR("no convergence in 30 svdcmp iterations");
-
444 }
-
445
-
446 x = s_[l];
-
447 nm = k - 1;
-
448 y = s_[nm];
-
449 g = rv1[nm];
-
450 h = rv1[k];
-
451 f = ((y - z) * (y + z) + (g - h) * (g + h)) / (2. * h * y);
-
452 g = pythag(f, 1.);
-
453 f = ((x - z) * (x + z) + h * ((y / (f + SIGN(g, f))) - h)) / x;
-
454 c = ss = 1.;
-
455
-
456 for (j = l; j <= nm; j++)
-
457 {
-
458 i = j + 1;
-
459 g = rv1[i];
-
460 y = s_[i];
-
461 h = ss * g;
-
462 g = c * g;
-
463 z = pythag(f, h);
-
464 rv1[j] = z;
-
465 c = f / z;
-
466 ss = h / z;
-
467 f = x * c + g * ss;
-
468 g = g * c - x * ss;
-
469 h = y * ss;
-
470 y *= c;
-
471
-
472 for (jj = 0; jj < n_; ++jj)
-
473 {
-
474 x = v_(jj, j);
-
475 z = v_(jj, i);
-
476 v_(jj, j) = x * c + z * ss;
-
477 v_(jj, i) = z * c - x * ss;
-
478 }
-
479
-
480 z = pythag(f, h);
-
481 s_[j] = z;
-
482
-
483 if (!utils::essentiallyEqual(z, 0.))
-
484 {
-
485 z = 1. / z;
-
486 c = f * z;
-
487 ss = h * z;
-
488 }
-
489
-
490 f = c * g + ss * y;
-
491 x = c * y - ss * g;
-
492
-
493 for (jj = 0; jj < m_; ++jj)
-
494 {
-
495 y = u_(jj, j);
-
496 z = u_(jj, i);
-
497 u_(jj, j) = y * c + z * ss;
-
498 u_(jj, i) = z * c - y * ss;
-
499 }
-
500 }
-
501 rv1[l] = 0.;
-
502 rv1[k] = f;
-
503 s_[k] = x;
-
504 }
-
505 }
-
506 }
-
507
-
508 // =============================================================================
-
509 // Description:
-
512 void reorder()
-
513 {
-
514 uint32 i = 0;
-
515 uint32 j = 0;
-
516 uint32 k = 0;
-
517 uint32 ss = 0;
-
518 uint32 inc = 1;
-
519
-
520 double sw{};
-
521 NdArray<double> su(m_, 1);
-
522 NdArray<double> sv(n_, 1);
-
523
-
524 do
-
525 {
-
526 inc *= 3;
-
527 ++inc;
-
528 } while (inc <= n_);
-
529
-
530 do
-
531 {
-
532 inc /= 3;
-
533 for (i = inc; i < n_; ++i)
-
534 {
-
535 sw = s_[i];
-
536 for (k = 0; k < m_; ++k)
-
537 {
-
538 su[k] = u_(k, i);
-
539 }
-
540
-
541 for (k = 0; k < n_; ++k)
-
542 {
-
543 sv[k] = v_(k, i);
-
544 }
-
545
-
546 j = i;
-
547 while (s_[j - inc] < sw)
-
548 {
-
549 s_[j] = s_[j - inc];
-
550
-
551 for (k = 0; k < m_; ++k)
-
552 {
-
553 u_(k, j) = u_(k, j - inc);
-
554 }
-
555
-
556 for (k = 0; k < n_; ++k)
-
557 {
-
558 v_(k, j) = v_(k, j - inc);
-
559 }
-
560
-
561 j -= inc;
-
562
-
563 if (j < inc)
-
564 {
-
565 break;
-
566 }
-
567 }
-
568
-
569 s_[j] = sw;
-
570
-
571 for (k = 0; k < m_; ++k)
-
572 {
-
573 u_(k, j) = su[k];
-
574 }
-
575
-
576 for (k = 0; k < n_; ++k)
-
577 {
-
578 v_(k, j) = sv[k];
-
579 }
-
580 }
-
581 } while (inc > 1);
-
582
-
583 for (k = 0; k < n_; ++k)
-
584 {
-
585 ss = 0;
-
586
-
587 for (i = 0; i < m_; i++)
-
588 {
-
589 if (u_(i, k) < 0.)
-
590 {
-
591 ss++;
-
592 }
-
593 }
-
594
-
595 for (j = 0; j < n_; ++j)
-
596 {
-
597 if (v_(j, k) < 0.)
-
598 {
-
599 ss++;
-
600 }
-
601 }
-
602
-
603 if (ss > (m_ + n_) / 2)
-
604 {
-
605 for (i = 0; i < m_; ++i)
-
606 {
-
607 u_(i, k) = -u_(i, k);
-
608 }
-
609
-
610 for (j = 0; j < n_; ++j)
-
611 {
-
612 v_(j, k) = -v_(j, k);
-
613 }
-
614 }
-
615 }
-
616 }
-
617
-
618 // =============================================================================
-
619 // Description:
-
627 static double pythag(double inA, double inB) noexcept
-
628 {
-
629 const double absa = std::abs(inA);
-
630 const double absb = std::abs(inB);
-
631 return (absa > absb
-
632 ? absa * std::sqrt(1. + utils::sqr(absb / absa))
-
633 : (utils::essentiallyEqual(absb, 0.) ? 0. : absb * std::sqrt(1. + utils::sqr(absa / absb))));
-
634 }
-
635
-
636 private:
-
637 // ===============================Attributes====================================
-
638 const uint32 m_{};
-
639 const uint32 n_{};
-
640 NdArray<double> u_{};
-
641 NdArray<double> v_{};
-
642 NdArray<double> s_{};
-
643 double eps_{};
-
644 double tsh_{};
-
645 };
-
-
646} // namespace nc::linalg
- -
THROW_INVALID_ARGUMENT_ERROR
#define THROW_INVALID_ARGUMENT_ERROR(msg)
Definition Error.hpp:37
- - -
nc::NdArray
Holds 1D and 2D arrays, the main work horse of the NumCpp library.
Definition NdArrayCore.hpp:139
-
nc::NdArray::front
const_reference front() const noexcept
Definition NdArrayCore.hpp:2936
-
nc::linalg::SVD
Definition SVDClass.hpp:47
-
nc::linalg::SVD::solve
NdArray< double > solve(const NdArray< double > &inInput, double inThresh=-1.)
Definition SVDClass.hpp:110
-
nc::linalg::SVD::s
const NdArray< double > & s() noexcept
Definition SVDClass.hpp:96
-
nc::linalg::SVD::v
const NdArray< double > & v() noexcept
Definition SVDClass.hpp:85
-
nc::linalg::SVD::SVD
SVD(const NdArray< double > &inMatrix)
Definition SVDClass.hpp:55
-
nc::linalg::SVD::u
const NdArray< double > & u() noexcept
Definition SVDClass.hpp:74
- -
nc::constants::j
constexpr auto j
Definition Core/Constants.hpp:42
-
nc::constants::c
constexpr double c
speed of light
Definition Core/Constants.hpp:36
-
nc::linalg
Definition cholesky.hpp:41
-
nc::random::detail::f
dtype f(GeneratorType &generator, dtype inDofN, dtype inDofD)
Definition f.hpp:56
-
nc::utils::essentiallyEqual
bool essentiallyEqual(dtype inValue1, dtype inValue2) noexcept
Definition essentiallyEqual.hpp:49
-
nc::utils::sqr
constexpr dtype sqr(dtype inValue) noexcept
Definition sqr.hpp:42
-
nc::arange
NdArray< dtype > arange(dtype inStart, dtype inStop, dtype inStep=1)
Definition arange.hpp:59
-
nc::sqrt
auto sqrt(dtype inValue) noexcept
Definition sqrt.hpp:48
-
nc::shape
Shape shape(const NdArray< dtype > &inArray) noexcept
Definition Functions/shape.hpp:42
-
nc::uint32
std::uint32_t uint32
Definition Types.hpp:40
-
-
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_static_asserts_8hpp.html b/docs/doxygen/html/_static_asserts_8hpp.html index 4ceb11418..50b74d50d 100644 --- a/docs/doxygen/html/_static_asserts_8hpp.html +++ b/docs/doxygen/html/_static_asserts_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_static_asserts_8hpp_source.html b/docs/doxygen/html/_static_asserts_8hpp_source.html index 6894eedc5..5b881eeb6 100644 --- a/docs/doxygen/html/_static_asserts_8hpp_source.html +++ b/docs/doxygen/html/_static_asserts_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_std_complex_operators_8hpp.html b/docs/doxygen/html/_std_complex_operators_8hpp.html index 6d8bc11a0..6f6269c15 100644 --- a/docs/doxygen/html/_std_complex_operators_8hpp.html +++ b/docs/doxygen/html/_std_complex_operators_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_std_complex_operators_8hpp_source.html b/docs/doxygen/html/_std_complex_operators_8hpp_source.html index e081155a9..e6cc51927 100644 --- a/docs/doxygen/html/_std_complex_operators_8hpp_source.html +++ b/docs/doxygen/html/_std_complex_operators_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_stl_algorithms_8hpp.html b/docs/doxygen/html/_stl_algorithms_8hpp.html index 2cd95b635..074500f5c 100644 --- a/docs/doxygen/html/_stl_algorithms_8hpp.html +++ b/docs/doxygen/html/_stl_algorithms_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_stl_algorithms_8hpp_source.html b/docs/doxygen/html/_stl_algorithms_8hpp_source.html index 9a703aa40..1f4ad7e75 100644 --- a/docs/doxygen/html/_stl_algorithms_8hpp_source.html +++ b/docs/doxygen/html/_stl_algorithms_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_timer_8hpp.html b/docs/doxygen/html/_timer_8hpp.html index ea1d1065e..4a7278222 100644 --- a/docs/doxygen/html/_timer_8hpp.html +++ b/docs/doxygen/html/_timer_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_timer_8hpp_source.html b/docs/doxygen/html/_timer_8hpp_source.html index 11cf2450c..694e6c7bb 100644 --- a/docs/doxygen/html/_timer_8hpp_source.html +++ b/docs/doxygen/html/_timer_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_transforms_8hpp.html b/docs/doxygen/html/_transforms_8hpp.html index 7ce00b719..447afc6f6 100644 --- a/docs/doxygen/html/_transforms_8hpp.html +++ b/docs/doxygen/html/_transforms_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_transforms_8hpp_source.html b/docs/doxygen/html/_transforms_8hpp_source.html index 1cd65dc02..b450f60eb 100644 --- a/docs/doxygen/html/_transforms_8hpp_source.html +++ b/docs/doxygen/html/_transforms_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_type_traits_8hpp.html b/docs/doxygen/html/_type_traits_8hpp.html index 8851b834b..81a6d7e90 100644 --- a/docs/doxygen/html/_type_traits_8hpp.html +++ b/docs/doxygen/html/_type_traits_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_type_traits_8hpp_source.html b/docs/doxygen/html/_type_traits_8hpp_source.html index 2931ca441..b600a71ef 100644 --- a/docs/doxygen/html/_type_traits_8hpp_source.html +++ b/docs/doxygen/html/_type_traits_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_types_8hpp.html b/docs/doxygen/html/_types_8hpp.html index 53fe0ace7..94239c5d3 100644 --- a/docs/doxygen/html/_types_8hpp.html +++ b/docs/doxygen/html/_types_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_types_8hpp_source.html b/docs/doxygen/html/_types_8hpp_source.html index e9d0fa19a..f38021ffc 100644 --- a/docs/doxygen/html/_types_8hpp_source.html +++ b/docs/doxygen/html/_types_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_2cube_8hpp.html b/docs/doxygen/html/_utils_2cube_8hpp.html index c8f25d54b..f536a43cf 100644 --- a/docs/doxygen/html/_utils_2cube_8hpp.html +++ b/docs/doxygen/html/_utils_2cube_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_2cube_8hpp_source.html b/docs/doxygen/html/_utils_2cube_8hpp_source.html index a737d4198..b50cfdefd 100644 --- a/docs/doxygen/html/_utils_2cube_8hpp_source.html +++ b/docs/doxygen/html/_utils_2cube_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_2interp_8hpp.html b/docs/doxygen/html/_utils_2interp_8hpp.html index e22c4dd14..63e221ff3 100644 --- a/docs/doxygen/html/_utils_2interp_8hpp.html +++ b/docs/doxygen/html/_utils_2interp_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_2interp_8hpp_source.html b/docs/doxygen/html/_utils_2interp_8hpp_source.html index 47cc9621b..6de6add41 100644 --- a/docs/doxygen/html/_utils_2interp_8hpp_source.html +++ b/docs/doxygen/html/_utils_2interp_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_2power_8hpp.html b/docs/doxygen/html/_utils_2power_8hpp.html index ee3eb844f..54103fed6 100644 --- a/docs/doxygen/html/_utils_2power_8hpp.html +++ b/docs/doxygen/html/_utils_2power_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_2power_8hpp_source.html b/docs/doxygen/html/_utils_2power_8hpp_source.html index 53f09489b..4058016b0 100644 --- a/docs/doxygen/html/_utils_2power_8hpp_source.html +++ b/docs/doxygen/html/_utils_2power_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_2powerf_8hpp.html b/docs/doxygen/html/_utils_2powerf_8hpp.html index 9d653cb57..8268251bf 100644 --- a/docs/doxygen/html/_utils_2powerf_8hpp.html +++ b/docs/doxygen/html/_utils_2powerf_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_2powerf_8hpp_source.html b/docs/doxygen/html/_utils_2powerf_8hpp_source.html index 6b4e709f2..07f9ebbab 100644 --- a/docs/doxygen/html/_utils_2powerf_8hpp_source.html +++ b/docs/doxygen/html/_utils_2powerf_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_8hpp.html b/docs/doxygen/html/_utils_8hpp.html index 9844abaf7..3db0a5111 100644 --- a/docs/doxygen/html/_utils_8hpp.html +++ b/docs/doxygen/html/_utils_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_utils_8hpp_source.html b/docs/doxygen/html/_utils_8hpp_source.html index de80484dd..fce78294a 100644 --- a/docs/doxygen/html/_utils_8hpp_source.html +++ b/docs/doxygen/html/_utils_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_vec2_8hpp.html b/docs/doxygen/html/_vec2_8hpp.html index 5c418e449..899cd54c3 100644 --- a/docs/doxygen/html/_vec2_8hpp.html +++ b/docs/doxygen/html/_vec2_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_vec3_8hpp.html b/docs/doxygen/html/_vec3_8hpp.html index 823b62081..ee1f69082 100644 --- a/docs/doxygen/html/_vec3_8hpp.html +++ b/docs/doxygen/html/_vec3_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_vec3_8hpp_source.html b/docs/doxygen/html/_vec3_8hpp_source.html index 40bbd4a94..8448eae3e 100644 --- a/docs/doxygen/html/_vec3_8hpp_source.html +++ b/docs/doxygen/html/_vec3_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_vector_8hpp.html b/docs/doxygen/html/_vector_8hpp.html index bf00c6ed5..b2bc41602 100644 --- a/docs/doxygen/html/_vector_8hpp.html +++ b/docs/doxygen/html/_vector_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_vector_8hpp_source.html b/docs/doxygen/html/_vector_8hpp_source.html index 63c2c9ebe..c4889daf2 100644 --- a/docs/doxygen/html/_vector_8hpp_source.html +++ b/docs/doxygen/html/_vector_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/_version_8hpp.html b/docs/doxygen/html/_version_8hpp.html index 5f984e0c3..5c8ee54ce 100644 --- a/docs/doxygen/html/_version_8hpp.html +++ b/docs/doxygen/html/_version_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -130,7 +130,7 @@ - +

Variables

constexpr char nc::VERSION [] = "2.15.0"
constexpr char nc::VERSION [] = "2.16.0"
 Current NumCpp version number.
 
diff --git a/docs/doxygen/html/_version_8hpp_source.html b/docs/doxygen/html/_version_8hpp_source.html index 55c05a3b0..508354775 100644 --- a/docs/doxygen/html/_version_8hpp_source.html +++ b/docs/doxygen/html/_version_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -128,7 +128,7 @@
30namespace nc
31{
32 // NOLINTNEXTLINE(cppcoreguidelines-avoid-c-arrays,hicpp-avoid-c-arrays,modernize-avoid-c-arrays)
-
33 constexpr char VERSION[] = "2.15.0";
+
33 constexpr char VERSION[] = "2.16.0";
34} // namespace nc
nc
Definition Cartesian.hpp:40
nc::VERSION
constexpr char VERSION[]
Current NumCpp version number.
Definition Version.hpp:33
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/add_boundary1d_8hpp.html b/docs/doxygen/html/add_boundary1d_8hpp.html index 5bfc8dc1b..c2b3945f9 100644 --- a/docs/doxygen/html/add_boundary1d_8hpp.html +++ b/docs/doxygen/html/add_boundary1d_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/add_boundary1d_8hpp_source.html b/docs/doxygen/html/add_boundary1d_8hpp_source.html index 5fb003536..50b722e7b 100644 --- a/docs/doxygen/html/add_boundary1d_8hpp_source.html +++ b/docs/doxygen/html/add_boundary1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/add_boundary2d_8hpp.html b/docs/doxygen/html/add_boundary2d_8hpp.html index ec87a3d69..0f86bcb78 100644 --- a/docs/doxygen/html/add_boundary2d_8hpp.html +++ b/docs/doxygen/html/add_boundary2d_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/add_boundary2d_8hpp_source.html b/docs/doxygen/html/add_boundary2d_8hpp_source.html index 72e980991..663190ac7 100644 --- a/docs/doxygen/html/add_boundary2d_8hpp_source.html +++ b/docs/doxygen/html/add_boundary2d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/airy__ai_8hpp.html b/docs/doxygen/html/airy__ai_8hpp.html index a73ad024d..a30a6bba4 100644 --- a/docs/doxygen/html/airy__ai_8hpp.html +++ b/docs/doxygen/html/airy__ai_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/airy__ai_8hpp_source.html b/docs/doxygen/html/airy__ai_8hpp_source.html index e7e5858ad..884ee3f2e 100644 --- a/docs/doxygen/html/airy__ai_8hpp_source.html +++ b/docs/doxygen/html/airy__ai_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/airy__ai__prime_8hpp.html b/docs/doxygen/html/airy__ai__prime_8hpp.html index 300ce8dbe..774c8d579 100644 --- a/docs/doxygen/html/airy__ai__prime_8hpp.html +++ b/docs/doxygen/html/airy__ai__prime_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/airy__ai__prime_8hpp_source.html b/docs/doxygen/html/airy__ai__prime_8hpp_source.html index aa5f4d705..a09c7790f 100644 --- a/docs/doxygen/html/airy__ai__prime_8hpp_source.html +++ b/docs/doxygen/html/airy__ai__prime_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/airy__bi_8hpp.html b/docs/doxygen/html/airy__bi_8hpp.html index ebe66fedc..24bafe964 100644 --- a/docs/doxygen/html/airy__bi_8hpp.html +++ b/docs/doxygen/html/airy__bi_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/airy__bi_8hpp_source.html b/docs/doxygen/html/airy__bi_8hpp_source.html index 6fe770d78..72e4871fe 100644 --- a/docs/doxygen/html/airy__bi_8hpp_source.html +++ b/docs/doxygen/html/airy__bi_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/airy__bi__prime_8hpp.html b/docs/doxygen/html/airy__bi__prime_8hpp.html index bad3e318f..677ae2615 100644 --- a/docs/doxygen/html/airy__bi__prime_8hpp.html +++ b/docs/doxygen/html/airy__bi__prime_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/airy__bi__prime_8hpp_source.html b/docs/doxygen/html/airy__bi__prime_8hpp_source.html index b53d3adf6..622d58e78 100644 --- a/docs/doxygen/html/airy__bi__prime_8hpp_source.html +++ b/docs/doxygen/html/airy__bi__prime_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/alen_8hpp.html b/docs/doxygen/html/alen_8hpp.html index 62e73614e..8e7e69e8b 100644 --- a/docs/doxygen/html/alen_8hpp.html +++ b/docs/doxygen/html/alen_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/alen_8hpp_source.html b/docs/doxygen/html/alen_8hpp_source.html index 4c558d628..aac69bf60 100644 --- a/docs/doxygen/html/alen_8hpp_source.html +++ b/docs/doxygen/html/alen_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/all_8hpp.html b/docs/doxygen/html/all_8hpp.html index de98398bd..1db8d830e 100644 --- a/docs/doxygen/html/all_8hpp.html +++ b/docs/doxygen/html/all_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/all_8hpp_source.html b/docs/doxygen/html/all_8hpp_source.html index 762cf0913..dcc55379e 100644 --- a/docs/doxygen/html/all_8hpp_source.html +++ b/docs/doxygen/html/all_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/allclose_8hpp.html b/docs/doxygen/html/allclose_8hpp.html index 8e3c23c15..467b48b9d 100644 --- a/docs/doxygen/html/allclose_8hpp.html +++ b/docs/doxygen/html/allclose_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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A Templatized Header Only C++ Implementation of the Python NumPy Library
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A Templatized Header Only C++ Implementation of the Python NumPy Library
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A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/choice_8hpp.html b/docs/doxygen/html/choice_8hpp.html index aec50188b..75442e1ad 100644 --- a/docs/doxygen/html/choice_8hpp.html +++ b/docs/doxygen/html/choice_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/choice_8hpp_source.html b/docs/doxygen/html/choice_8hpp_source.html index 2dcd8f31d..86bf805bd 100644 --- a/docs/doxygen/html/choice_8hpp_source.html +++ b/docs/doxygen/html/choice_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/cholesky_8hpp.html b/docs/doxygen/html/cholesky_8hpp.html index 2674d215c..e2caa5e84 100644 --- a/docs/doxygen/html/cholesky_8hpp.html +++ b/docs/doxygen/html/cholesky_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/cholesky_8hpp_source.html b/docs/doxygen/html/cholesky_8hpp_source.html index 2b44467b0..9b6361eab 100644 --- a/docs/doxygen/html/cholesky_8hpp_source.html +++ b/docs/doxygen/html/cholesky_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classes.html b/docs/doxygen/html/classes.html index d723828ea..3974725bf 100644 --- a/docs/doxygen/html/classes.html +++ b/docs/doxygen/html/classes.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_data_cube.html b/docs/doxygen/html/classnc_1_1_data_cube.html index 0ad80318b..8620e64ea 100644 --- a/docs/doxygen/html/classnc_1_1_data_cube.html +++ b/docs/doxygen/html/classnc_1_1_data_cube.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_date_time.html b/docs/doxygen/html/classnc_1_1_date_time.html index 608a33c08..4054831a4 100644 --- a/docs/doxygen/html/classnc_1_1_date_time.html +++ b/docs/doxygen/html/classnc_1_1_date_time.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_dtype_info.html b/docs/doxygen/html/classnc_1_1_dtype_info.html index 36c98d88d..db30fc87d 100644 --- a/docs/doxygen/html/classnc_1_1_dtype_info.html +++ b/docs/doxygen/html/classnc_1_1_dtype_info.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_dtype_info_3_01std_1_1complex_3_01dtype_01_4_01_4.html b/docs/doxygen/html/classnc_1_1_dtype_info_3_01std_1_1complex_3_01dtype_01_4_01_4.html index 9b61c757b..5cd611d73 100644 --- a/docs/doxygen/html/classnc_1_1_dtype_info_3_01std_1_1complex_3_01dtype_01_4_01_4.html +++ b/docs/doxygen/html/classnc_1_1_dtype_info_3_01std_1_1complex_3_01dtype_01_4_01_4.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_nd_array.html b/docs/doxygen/html/classnc_1_1_nd_array.html index 711454219..4bfe7656b 100644 --- a/docs/doxygen/html/classnc_1_1_nd_array.html +++ b/docs/doxygen/html/classnc_1_1_nd_array.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_nd_array_column_iterator.html b/docs/doxygen/html/classnc_1_1_nd_array_column_iterator.html index 32901f0b9..732a1a74e 100644 --- a/docs/doxygen/html/classnc_1_1_nd_array_column_iterator.html +++ b/docs/doxygen/html/classnc_1_1_nd_array_column_iterator.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_nd_array_const_column_iterator.html b/docs/doxygen/html/classnc_1_1_nd_array_const_column_iterator.html index 7bfd50f27..6d1cedbc7 100644 --- a/docs/doxygen/html/classnc_1_1_nd_array_const_column_iterator.html +++ b/docs/doxygen/html/classnc_1_1_nd_array_const_column_iterator.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_nd_array_const_iterator.html b/docs/doxygen/html/classnc_1_1_nd_array_const_iterator.html index 940ba9acf..f6f12be67 100644 --- a/docs/doxygen/html/classnc_1_1_nd_array_const_iterator.html +++ b/docs/doxygen/html/classnc_1_1_nd_array_const_iterator.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_nd_array_iterator.html b/docs/doxygen/html/classnc_1_1_nd_array_iterator.html index 1114dd86f..1342daa03 100644 --- a/docs/doxygen/html/classnc_1_1_nd_array_iterator.html +++ b/docs/doxygen/html/classnc_1_1_nd_array_iterator.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_shape.html b/docs/doxygen/html/classnc_1_1_shape.html index 6aaedb18c..b40878541 100644 --- a/docs/doxygen/html/classnc_1_1_shape.html +++ b/docs/doxygen/html/classnc_1_1_shape.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_slice.html b/docs/doxygen/html/classnc_1_1_slice.html index c6ea4a19e..2f7d994ed 100644 --- a/docs/doxygen/html/classnc_1_1_slice.html +++ b/docs/doxygen/html/classnc_1_1_slice.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_timer.html b/docs/doxygen/html/classnc_1_1_timer.html index b845fd053..b0731c981 100644 --- a/docs/doxygen/html/classnc_1_1_timer.html +++ b/docs/doxygen/html/classnc_1_1_timer.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_vec2.html b/docs/doxygen/html/classnc_1_1_vec2.html index 8ea13494d..59de3aff7 100644 --- a/docs/doxygen/html/classnc_1_1_vec2.html +++ b/docs/doxygen/html/classnc_1_1_vec2.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1_vec3.html b/docs/doxygen/html/classnc_1_1_vec3.html index 239071056..09eae6b15 100644 --- a/docs/doxygen/html/classnc_1_1_vec3.html +++ b/docs/doxygen/html/classnc_1_1_vec3.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1_cartesian.html b/docs/doxygen/html/classnc_1_1coordinates_1_1_cartesian.html index a2f4f358b..47198f936 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1_cartesian.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1_cartesian.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1_euler.html b/docs/doxygen/html/classnc_1_1coordinates_1_1_euler.html index 58775ec5f..96769400f 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1_euler.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1_euler.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1_orientation.html b/docs/doxygen/html/classnc_1_1coordinates_1_1_orientation.html index 39534111d..690651517 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1_orientation.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1_orientation.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_a_e_r.html b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_a_e_r.html index 8b1c56c75..c223a22b1 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_a_e_r.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_a_e_r.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_celestial.html b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_celestial.html index d07ee967d..d51f743a8 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_celestial.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_celestial.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_dec.html b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_dec.html index c89639f41..16b1155eb 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_dec.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_dec.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_e_c_e_f.html b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_e_c_e_f.html index fb35b22c5..3854426e0 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_e_c_e_f.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_e_c_e_f.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_e_n_u.html b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_e_n_u.html index cfb9db56f..4dbe1b16b 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_e_n_u.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_e_n_u.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_geocentric.html b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_geocentric.html index 758f40b55..643013213 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_geocentric.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_geocentric.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_l_l_a.html b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_l_l_a.html index 7014be8d7..8cae21587 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_l_l_a.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_l_l_a.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_n_e_d.html b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_n_e_d.html index 9e7fedf03..23d6c29da 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_n_e_d.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_n_e_d.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_r_a.html b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_r_a.html index 7b860c942..8dad8d94f 100644 --- a/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_r_a.html +++ b/docs/doxygen/html/classnc_1_1coordinates_1_1reference__frames_1_1_r_a.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1image_processing_1_1_centroid.html b/docs/doxygen/html/classnc_1_1image_processing_1_1_centroid.html index a6abd162b..2c8eede2b 100644 --- a/docs/doxygen/html/classnc_1_1image_processing_1_1_centroid.html +++ b/docs/doxygen/html/classnc_1_1image_processing_1_1_centroid.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1image_processing_1_1_cluster.html b/docs/doxygen/html/classnc_1_1image_processing_1_1_cluster.html index dcd7253ab..e0c7ad735 100644 --- a/docs/doxygen/html/classnc_1_1image_processing_1_1_cluster.html +++ b/docs/doxygen/html/classnc_1_1image_processing_1_1_cluster.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1image_processing_1_1_cluster_maker.html b/docs/doxygen/html/classnc_1_1image_processing_1_1_cluster_maker.html index 2c1646525..70eaa2291 100644 --- a/docs/doxygen/html/classnc_1_1image_processing_1_1_cluster_maker.html +++ b/docs/doxygen/html/classnc_1_1image_processing_1_1_cluster_maker.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1image_processing_1_1_pixel.html b/docs/doxygen/html/classnc_1_1image_processing_1_1_pixel.html index 96aa60d74..644f39d99 100644 --- a/docs/doxygen/html/classnc_1_1image_processing_1_1_pixel.html +++ b/docs/doxygen/html/classnc_1_1image_processing_1_1_pixel.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1integrate_1_1_legendre_polynomial.html b/docs/doxygen/html/classnc_1_1integrate_1_1_legendre_polynomial.html index a5efb49b8..8429b41ca 100644 --- a/docs/doxygen/html/classnc_1_1integrate_1_1_legendre_polynomial.html +++ b/docs/doxygen/html/classnc_1_1integrate_1_1_legendre_polynomial.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/classnc_1_1linalg_1_1_s_v_d.html b/docs/doxygen/html/classnc_1_1linalg_1_1_s_v_d.html index 6a21a9e03..1bf69f22a 100644 --- a/docs/doxygen/html/classnc_1_1linalg_1_1_s_v_d.html +++ b/docs/doxygen/html/classnc_1_1linalg_1_1_s_v_d.html @@ -7,7 +7,7 @@ - NumCpp: nc::linalg::SVD Class Reference + NumCpp: nc::linalg::SVD< dtype > Class Template Reference @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -115,42 +115,58 @@
-Public Member Functions
-
nc::linalg::SVD Class Reference
+Public Member Functions | +Static Public Attributes
+
nc::linalg::SVD< dtype > Class Template Reference
-

#include <SVDClass.hpp>

+

Performs the singular value decomposition of a general matrix. + More...

+ +

#include <SVD.hpp>

- - - - - - - - - - + + + + + + + + + + + + + + +

Public Member Functions

 SVD (const NdArray< double > &inMatrix)
 
const NdArray< double > & s () noexcept
 
NdArray< double > solve (const NdArray< double > &inInput, double inThresh=-1.)
 
const NdArray< double > & u () noexcept
 
const NdArray< double > & v () noexcept
 
 SVD (const NdArray< dtype > &inMatrix)
 
NdArray< double > lstsq (const NdArray< double > &inInput)
 
NdArray< double > pinv ()
 
const NdArray< double > & s () const noexcept
 
 STATIC_ASSERT_ARITHMETIC (dtype)
 
const NdArray< double > & u () const noexcept
 
const NdArray< double > & v () const noexcept
 
+ + +

+Static Public Attributes

static constexpr auto TOLERANCE = 1e-12
 

Detailed Description

-

performs the singular value decomposition of a general matrix, taken and adapted from Numerical Recipes Third Edition svd.h

+
template<typename dtype>
+class nc::linalg::SVD< dtype >

Performs the singular value decomposition of a general matrix.

Constructor & Destructor Documentation

- -

◆ SVD()

+ +

◆ SVD()

+
+template<typename dtype >
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--git a/docs/doxygen/html/cross_8hpp.html b/docs/doxygen/html/cross_8hpp.html index c142d6871..28f0b36ec 100644 --- a/docs/doxygen/html/cross_8hpp.html +++ b/docs/doxygen/html/cross_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/cross_8hpp_source.html b/docs/doxygen/html/cross_8hpp_source.html index 65d1fd918..f79ce8973 100644 --- a/docs/doxygen/html/cross_8hpp_source.html +++ b/docs/doxygen/html/cross_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/cumprod_8hpp.html b/docs/doxygen/html/cumprod_8hpp.html index 1d7288df4..2419ad6ff 100644 --- a/docs/doxygen/html/cumprod_8hpp.html +++ b/docs/doxygen/html/cumprod_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/cumprod_8hpp_source.html b/docs/doxygen/html/cumprod_8hpp_source.html index d2b0f2355..cb3e297ed 100644 --- a/docs/doxygen/html/cumprod_8hpp_source.html +++ b/docs/doxygen/html/cumprod_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/cumsum_8hpp.html b/docs/doxygen/html/cumsum_8hpp.html index e1387bd1d..0f8b6efde 100644 --- a/docs/doxygen/html/cumsum_8hpp.html +++ b/docs/doxygen/html/cumsum_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/cumsum_8hpp_source.html b/docs/doxygen/html/cumsum_8hpp_source.html index 0a974f6cd..a023677e8 100644 --- a/docs/doxygen/html/cumsum_8hpp_source.html +++ b/docs/doxygen/html/cumsum_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/cyclic__hankel__1_8hpp.html b/docs/doxygen/html/cyclic__hankel__1_8hpp.html index 7245096e1..be20d7fe7 100644 --- a/docs/doxygen/html/cyclic__hankel__1_8hpp.html +++ b/docs/doxygen/html/cyclic__hankel__1_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/cyclic__hankel__1_8hpp_source.html b/docs/doxygen/html/cyclic__hankel__1_8hpp_source.html index 0c59cb6a0..a9dd52d66 100644 --- a/docs/doxygen/html/cyclic__hankel__1_8hpp_source.html +++ b/docs/doxygen/html/cyclic__hankel__1_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/cyclic__hankel__2_8hpp.html b/docs/doxygen/html/cyclic__hankel__2_8hpp.html index 1e9c34f2c..ffd464be4 100644 --- a/docs/doxygen/html/cyclic__hankel__2_8hpp.html +++ b/docs/doxygen/html/cyclic__hankel__2_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/cyclic__hankel__2_8hpp_source.html b/docs/doxygen/html/cyclic__hankel__2_8hpp_source.html index 087647291..a23faccb5 100644 --- a/docs/doxygen/html/cyclic__hankel__2_8hpp_source.html +++ b/docs/doxygen/html/cyclic__hankel__2_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/deg2rad_8hpp.html b/docs/doxygen/html/deg2rad_8hpp.html index 118b1735f..ac63e0cc0 100644 --- a/docs/doxygen/html/deg2rad_8hpp.html +++ b/docs/doxygen/html/deg2rad_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/deg2rad_8hpp_source.html b/docs/doxygen/html/deg2rad_8hpp_source.html index 09295c2f4..6cf281dd1 100644 --- a/docs/doxygen/html/deg2rad_8hpp_source.html +++ b/docs/doxygen/html/deg2rad_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/degrees_8hpp.html b/docs/doxygen/html/degrees_8hpp.html index 800d5fdd3..66a0b428b 100644 --- a/docs/doxygen/html/degrees_8hpp.html +++ b/docs/doxygen/html/degrees_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/degrees_8hpp_source.html b/docs/doxygen/html/degrees_8hpp_source.html index 18b777d63..f14e21b6c 100644 --- a/docs/doxygen/html/degrees_8hpp_source.html +++ b/docs/doxygen/html/degrees_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/delete_indices_8hpp.html b/docs/doxygen/html/delete_indices_8hpp.html index b08ebc08c..7a452fd1d 100644 --- a/docs/doxygen/html/delete_indices_8hpp.html +++ b/docs/doxygen/html/delete_indices_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/delete_indices_8hpp_source.html b/docs/doxygen/html/delete_indices_8hpp_source.html index 2eb8691f4..a9673c6f3 100644 --- a/docs/doxygen/html/delete_indices_8hpp_source.html +++ b/docs/doxygen/html/delete_indices_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/det_8hpp.html b/docs/doxygen/html/det_8hpp.html index 03f64d7a2..84ec69b74 100644 --- a/docs/doxygen/html/det_8hpp.html +++ b/docs/doxygen/html/det_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/det_8hpp_source.html b/docs/doxygen/html/det_8hpp_source.html index 3dfa4a585..20a37441b 100644 --- a/docs/doxygen/html/det_8hpp_source.html +++ b/docs/doxygen/html/det_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/diag_8hpp.html b/docs/doxygen/html/diag_8hpp.html index fa3c27111..6911b0e2d 100644 --- a/docs/doxygen/html/diag_8hpp.html +++ b/docs/doxygen/html/diag_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/diag_8hpp_source.html b/docs/doxygen/html/diag_8hpp_source.html index 9045c16ee..61afa63af 100644 --- a/docs/doxygen/html/diag_8hpp_source.html +++ b/docs/doxygen/html/diag_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/diagflat_8hpp.html b/docs/doxygen/html/diagflat_8hpp.html index 9b505a4de..9e0ee6fcc 100644 --- a/docs/doxygen/html/diagflat_8hpp.html +++ b/docs/doxygen/html/diagflat_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/diagflat_8hpp_source.html b/docs/doxygen/html/diagflat_8hpp_source.html index 9af9f86c2..9cce97ea3 100644 --- a/docs/doxygen/html/diagflat_8hpp_source.html +++ b/docs/doxygen/html/diagflat_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/diagonal_8hpp.html b/docs/doxygen/html/diagonal_8hpp.html index a733fe203..1b7b471c9 100644 --- a/docs/doxygen/html/diagonal_8hpp.html +++ b/docs/doxygen/html/diagonal_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/diagonal_8hpp_source.html b/docs/doxygen/html/diagonal_8hpp_source.html index b5cbe890a..0ec841566 100644 --- a/docs/doxygen/html/diagonal_8hpp_source.html +++ b/docs/doxygen/html/diagonal_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/diff_8hpp.html b/docs/doxygen/html/diff_8hpp.html index d8b6e69b3..c543013bf 100644 --- a/docs/doxygen/html/diff_8hpp.html +++ b/docs/doxygen/html/diff_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/diff_8hpp_source.html b/docs/doxygen/html/diff_8hpp_source.html index 1193ef3dd..2e05de34c 100644 --- a/docs/doxygen/html/diff_8hpp_source.html +++ b/docs/doxygen/html/diff_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/digamma_8hpp.html b/docs/doxygen/html/digamma_8hpp.html index 220e1aa9a..b045945e1 100644 --- a/docs/doxygen/html/digamma_8hpp.html +++ b/docs/doxygen/html/digamma_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/digamma_8hpp_source.html b/docs/doxygen/html/digamma_8hpp_source.html index 10a250192..bf8486f74 100644 --- a/docs/doxygen/html/digamma_8hpp_source.html +++ b/docs/doxygen/html/digamma_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/digitize_8hpp.html b/docs/doxygen/html/digitize_8hpp.html index 6bed02350..211d3347e 100644 --- a/docs/doxygen/html/digitize_8hpp.html +++ b/docs/doxygen/html/digitize_8hpp.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/digitize_8hpp_source.html b/docs/doxygen/html/digitize_8hpp_source.html index b16fdfd33..5ac119e6c 100644 --- a/docs/doxygen/html/digitize_8hpp_source.html +++ b/docs/doxygen/html/digitize_8hpp_source.html @@ -50,7 +50,7 @@ diff --git a/docs/doxygen/html/dir_093b14450e434accd2cde91cedff0d18.html b/docs/doxygen/html/dir_093b14450e434accd2cde91cedff0d18.html index e083ff0f3..fa0c81d14 100644 --- a/docs/doxygen/html/dir_093b14450e434accd2cde91cedff0d18.html +++ b/docs/doxygen/html/dir_093b14450e434accd2cde91cedff0d18.html @@ -50,7 +50,7 @@ @@ -120,7 +120,7 @@
- + - + @@ -164,7 +180,7 @@

Parameters

nc::linalg::SVD::SVD nc::linalg::SVD< dtype >::SVD (const NdArray< double > & const NdArray< dtype > &  inMatrix)
- +
inMatrixmatrix to perform SVD on
inMatrixmatrix to perform SVD on
@@ -172,58 +188,58 @@

Member Function Documentation

- -

◆ s()

+ +

◆ lstsq()

+
+template<typename dtype >
+inline
- + - + +
const NdArray< double > & nc::linalg::SVD::s NdArray< double > nc::linalg::SVD< dtype >::lstsq ()const NdArray< double > & inInput)
-inlinenoexcept
-

the resultant w matrix

-
Returns
s matrix
+

solves the linear least squares problem

+
Parameters
+ + +
inInput
+
+
+
Returns
NdArray
- -

◆ solve()

+ +

◆ pinv()

+
+template<typename dtype >
@@ -232,34 +248,78 @@

-

solves the linear least squares problem

-
Parameters
-

- + - - - - - - - - - - + - -
NdArray< double > nc::linalg::SVD::solve NdArray< double > nc::linalg::SVD< dtype >::pinv (const NdArray< double > & inInput,
double inThresh = -1. 
) )
- - -
inInput
inThresh(default -1.)
- - +

Returns the pseudo-inverse of the input matrix

Returns
NdArray
- -

◆ u()

+ +

◆ s()

+
+template<typename dtype >
+ + +
- + + + +
const NdArray< double > & nc::linalg::SVD::u const NdArray< double > & nc::linalg::SVD< dtype >::s ( ) const
+ 		+inlinenoexcept
+
+

the resultant w matrix

+
Returns
s matrix
+ +
+
+ +

◆ STATIC_ASSERT_ARITHMETIC()

+ +
+
+
+template<typename dtype >
+ + + + + +
nc::linalg::SVD< dtype >::STATIC_ASSERT_ARITHMETIC (dtype )
+
+ +
+
+ +

◆ u()

+ +
+
+
+template<typename dtype >
+ + + @@ -271,20 +331,22 @@

-

◆ v()

+ +

◆ v()

+
+template<typename dtype >

+ + + + + + + +
const NdArray< double > & nc::linalg::SVD< dtype >::u () const
 inlinenoexcept
@@ -293,13 +355,38 @@

-

the resultant v matrix

+

the resultant v transpose matrix

Returns
v matrix
+ + +

Field Documentation

+ +

◆ TOLERANCE

+ +
+
+
+template<typename dtype >
+

- + - +
const NdArray< double > & nc::linalg::SVD::v const NdArray< double > & nc::linalg::SVD< dtype >::v ( ) const
+ + + + +
+ + + + +
constexpr auto nc::linalg::SVD< dtype >::TOLERANCE = 1e-12
+ 		+staticconstexpr
+
+
The documentation for this class was generated from the following file: diff --git a/docs/doxygen/html/classnc_1_1linalg_1_1_s_v_d.js b/docs/doxygen/html/classnc_1_1linalg_1_1_s_v_d.js index 11ccba90b..903cf1b96 100644 --- a/docs/doxygen/html/classnc_1_1linalg_1_1_s_v_d.js +++ b/docs/doxygen/html/classnc_1_1linalg_1_1_s_v_d.js @@ -1,8 +1,11 @@ var classnc_1_1linalg_1_1_s_v_d = [ - [ "SVD", "classnc_1_1linalg_1_1_s_v_d.html#ae0561bbc9633e436139258b0c70b98ba", null ], - [ "s", "classnc_1_1linalg_1_1_s_v_d.html#aa3628ab32a1117f00645ce377c4b8654", null ], - [ "solve", "classnc_1_1linalg_1_1_s_v_d.html#a5f8126b97109ff2929842d861522de19", null ], - [ "u", "classnc_1_1linalg_1_1_s_v_d.html#af28a679bf8a8ef8af95184a26a6fbb4e", null ], - [ "v", "classnc_1_1linalg_1_1_s_v_d.html#ab0ff491e89a4242d15854683d0a45650", null ] + [ "SVD", "classnc_1_1linalg_1_1_s_v_d.html#ab4ba7cba1b76cd0a05805c894b93e356", null ], + [ "lstsq", "classnc_1_1linalg_1_1_s_v_d.html#ac242186475a35804492d717f933024bd", null ], + [ "pinv", "classnc_1_1linalg_1_1_s_v_d.html#a81c5d57cc757e95a3dc48cec03ca80fb", null ], + [ "s", "classnc_1_1linalg_1_1_s_v_d.html#a16f7636b9dc063e1636effbc71240f4b", null ], + [ "STATIC_ASSERT_ARITHMETIC", "classnc_1_1linalg_1_1_s_v_d.html#a38a3dacc268968d6910618f0ff79073e", null ], + [ "u", "classnc_1_1linalg_1_1_s_v_d.html#a158910084dd44940dca481dbf5f92382", null ], + [ "v", "classnc_1_1linalg_1_1_s_v_d.html#adc73c87eefc76c303ef510b5c2534fa3", null ], + [ "TOLERANCE", "classnc_1_1linalg_1_1_s_v_d.html#a6dd64d76d201318568ce13eb305810fd", null ] ]; \ No newline at end of file diff --git a/docs/doxygen/html/classnc_1_1logger_1_1_binary_logger.html b/docs/doxygen/html/classnc_1_1logger_1_1_binary_logger.html index a4a758f26..e003b5a46 100644 --- a/docs/doxygen/html/classnc_1_1logger_1_1_binary_logger.html +++ b/docs/doxygen/html/classnc_1_1logger_1_1_binary_logger.html @@ -50,7 +50,7 @@
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
- +

Files

 SVDClass.hpp
 SVD.hpp
 
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_10b69f38d52e59bd23d9fc1937bea22a.html b/docs/doxygen/html/dir_10b69f38d52e59bd23d9fc1937bea22a.html index 5bb4b8dc6..295f5e066 100644 --- a/docs/doxygen/html/dir_10b69f38d52e59bd23d9fc1937bea22a.html +++ b/docs/doxygen/html/dir_10b69f38d52e59bd23d9fc1937bea22a.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_135bbb5e4eb4ddbda27ac0540001f7fd.html b/docs/doxygen/html/dir_135bbb5e4eb4ddbda27ac0540001f7fd.html index 77219e737..4a821da28 100644 --- a/docs/doxygen/html/dir_135bbb5e4eb4ddbda27ac0540001f7fd.html +++ b/docs/doxygen/html/dir_135bbb5e4eb4ddbda27ac0540001f7fd.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_22368e90b3593b912515c50bf54c969c.html b/docs/doxygen/html/dir_22368e90b3593b912515c50bf54c969c.html index ec6bc6da0..3b90b4097 100644 --- a/docs/doxygen/html/dir_22368e90b3593b912515c50bf54c969c.html +++ b/docs/doxygen/html/dir_22368e90b3593b912515c50bf54c969c.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_2e8552338a5fe196f81c9ab4a461b773.html b/docs/doxygen/html/dir_2e8552338a5fe196f81c9ab4a461b773.html index 90313a19c..6789b72c0 100644 --- a/docs/doxygen/html/dir_2e8552338a5fe196f81c9ab4a461b773.html +++ b/docs/doxygen/html/dir_2e8552338a5fe196f81c9ab4a461b773.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_34171bd951b13a53aa9f237277a18e40.html b/docs/doxygen/html/dir_34171bd951b13a53aa9f237277a18e40.html index 28fcef77d..a82248037 100644 --- a/docs/doxygen/html/dir_34171bd951b13a53aa9f237277a18e40.html +++ b/docs/doxygen/html/dir_34171bd951b13a53aa9f237277a18e40.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_3762e5d1d8eae0347117ff18be7f517d.html b/docs/doxygen/html/dir_3762e5d1d8eae0347117ff18be7f517d.html index 16482a860..7bfd55a29 100644 --- a/docs/doxygen/html/dir_3762e5d1d8eae0347117ff18be7f517d.html +++ b/docs/doxygen/html/dir_3762e5d1d8eae0347117ff18be7f517d.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_49e56c817e5e54854c35e136979f97ca.html b/docs/doxygen/html/dir_49e56c817e5e54854c35e136979f97ca.html index 5716702e7..526686762 100644 --- a/docs/doxygen/html/dir_49e56c817e5e54854c35e136979f97ca.html +++ b/docs/doxygen/html/dir_49e56c817e5e54854c35e136979f97ca.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_5cccc998a857696e320833db04811b65.html b/docs/doxygen/html/dir_5cccc998a857696e320833db04811b65.html index 90f97ff39..711ad5673 100644 --- a/docs/doxygen/html/dir_5cccc998a857696e320833db04811b65.html +++ b/docs/doxygen/html/dir_5cccc998a857696e320833db04811b65.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_6282b7c0ec828c4b60830a3c405ff9e8.html b/docs/doxygen/html/dir_6282b7c0ec828c4b60830a3c405ff9e8.html index 99b822472..ce015642d 100644 --- a/docs/doxygen/html/dir_6282b7c0ec828c4b60830a3c405ff9e8.html +++ b/docs/doxygen/html/dir_6282b7c0ec828c4b60830a3c405ff9e8.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_812c63cdb45b3d369433603c764d8ca4.html b/docs/doxygen/html/dir_812c63cdb45b3d369433603c764d8ca4.html index 4d8a6a058..74f24d51e 100644 --- a/docs/doxygen/html/dir_812c63cdb45b3d369433603c764d8ca4.html +++ b/docs/doxygen/html/dir_812c63cdb45b3d369433603c764d8ca4.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_821f0d92e31f34ac47de77ab611d6024.html b/docs/doxygen/html/dir_821f0d92e31f34ac47de77ab611d6024.html index 2e4491b51..8124bf305 100644 --- a/docs/doxygen/html/dir_821f0d92e31f34ac47de77ab611d6024.html +++ b/docs/doxygen/html/dir_821f0d92e31f34ac47de77ab611d6024.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_8e10c5302eb28a2724f15da9a6fa6b15.html b/docs/doxygen/html/dir_8e10c5302eb28a2724f15da9a6fa6b15.html index d2d28bb2b..a7bd20446 100644 --- a/docs/doxygen/html/dir_8e10c5302eb28a2724f15da9a6fa6b15.html +++ b/docs/doxygen/html/dir_8e10c5302eb28a2724f15da9a6fa6b15.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_9051d82ec7b39b1c992f5bf2868571ca.html b/docs/doxygen/html/dir_9051d82ec7b39b1c992f5bf2868571ca.html index ce5f01604..00f48ae5f 100644 --- a/docs/doxygen/html/dir_9051d82ec7b39b1c992f5bf2868571ca.html +++ b/docs/doxygen/html/dir_9051d82ec7b39b1c992f5bf2868571ca.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_953ac13dcbfb3e70ef6edb1a0956b929.html b/docs/doxygen/html/dir_953ac13dcbfb3e70ef6edb1a0956b929.html index c04bde307..fe11b8b2d 100644 --- a/docs/doxygen/html/dir_953ac13dcbfb3e70ef6edb1a0956b929.html +++ b/docs/doxygen/html/dir_953ac13dcbfb3e70ef6edb1a0956b929.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_a0b3eef1c4a290b815c33ad6e7027cf3.html b/docs/doxygen/html/dir_a0b3eef1c4a290b815c33ad6e7027cf3.html index 81876b77e..7a186209f 100644 --- a/docs/doxygen/html/dir_a0b3eef1c4a290b815c33ad6e7027cf3.html +++ b/docs/doxygen/html/dir_a0b3eef1c4a290b815c33ad6e7027cf3.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_ad9a75b0e29f8223a99c87bd9504b7c3.html b/docs/doxygen/html/dir_ad9a75b0e29f8223a99c87bd9504b7c3.html index 638534eba..484b94a2e 100644 --- a/docs/doxygen/html/dir_ad9a75b0e29f8223a99c87bd9504b7c3.html +++ b/docs/doxygen/html/dir_ad9a75b0e29f8223a99c87bd9504b7c3.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_b095eef7754acf39fdbf777c56c024ce.html b/docs/doxygen/html/dir_b095eef7754acf39fdbf777c56c024ce.html index bf6e7308b..ce2cd83c8 100644 --- a/docs/doxygen/html/dir_b095eef7754acf39fdbf777c56c024ce.html +++ b/docs/doxygen/html/dir_b095eef7754acf39fdbf777c56c024ce.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_b6a8313716ea291fbd26120862b344bc.html b/docs/doxygen/html/dir_b6a8313716ea291fbd26120862b344bc.html index 238f4574a..26da84a18 100644 --- a/docs/doxygen/html/dir_b6a8313716ea291fbd26120862b344bc.html +++ b/docs/doxygen/html/dir_b6a8313716ea291fbd26120862b344bc.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_cac3062759fc9841f0966ab05282555a.html b/docs/doxygen/html/dir_cac3062759fc9841f0966ab05282555a.html index b3d652cd8..ec10f5c8c 100644 --- a/docs/doxygen/html/dir_cac3062759fc9841f0966ab05282555a.html +++ b/docs/doxygen/html/dir_cac3062759fc9841f0966ab05282555a.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_ccac4f9986402d0375bdb0274c573e10.html b/docs/doxygen/html/dir_ccac4f9986402d0375bdb0274c573e10.html index 1a70f888d..d796db1c4 100644 --- a/docs/doxygen/html/dir_ccac4f9986402d0375bdb0274c573e10.html +++ b/docs/doxygen/html/dir_ccac4f9986402d0375bdb0274c573e10.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_d4391026049f7aede16e9c18d53d30b9.html b/docs/doxygen/html/dir_d4391026049f7aede16e9c18d53d30b9.html index 0d4f2cfa9..1d30ef986 100644 --- a/docs/doxygen/html/dir_d4391026049f7aede16e9c18d53d30b9.html +++ b/docs/doxygen/html/dir_d4391026049f7aede16e9c18d53d30b9.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_d44c64559bbebec7f509842c48db8b23.html b/docs/doxygen/html/dir_d44c64559bbebec7f509842c48db8b23.html index cbc0a72e1..be495a61c 100644 --- a/docs/doxygen/html/dir_d44c64559bbebec7f509842c48db8b23.html +++ b/docs/doxygen/html/dir_d44c64559bbebec7f509842c48db8b23.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/dir_d784f51d362276329e5940df711baf3d.html b/docs/doxygen/html/dir_d784f51d362276329e5940df711baf3d.html index efe3d9f07..40cb9e3ad 100644 --- a/docs/doxygen/html/dir_d784f51d362276329e5940df711baf3d.html +++ b/docs/doxygen/html/dir_d784f51d362276329e5940df711baf3d.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -129,6 +129,10 @@    det.hpp   + eig.hpp +  + eigvals.hpp +   gaussNewtonNlls.hpp    hat.hpp @@ -151,6 +155,8 @@    svd.hpp   + svdvals.hpp + 
diff --git a/docs/doxygen/html/dir_d784f51d362276329e5940df711baf3d.js b/docs/doxygen/html/dir_d784f51d362276329e5940df711baf3d.js index 36c125a6c..767ca94b6 100644 --- a/docs/doxygen/html/dir_d784f51d362276329e5940df711baf3d.js +++ b/docs/doxygen/html/dir_d784f51d362276329e5940df711baf3d.js @@ -3,6 +3,8 @@ var dir_d784f51d362276329e5940df711baf3d = [ "svd", "dir_093b14450e434accd2cde91cedff0d18.html", "dir_093b14450e434accd2cde91cedff0d18" ], [ "cholesky.hpp", "cholesky_8hpp.html", "cholesky_8hpp" ], [ "det.hpp", "det_8hpp.html", "det_8hpp" ], + [ "eig.hpp", "eig_8hpp.html", "eig_8hpp" ], + [ "eigvals.hpp", "eigvals_8hpp.html", "eigvals_8hpp" ], [ "gaussNewtonNlls.hpp", "gauss_newton_nlls_8hpp.html", "gauss_newton_nlls_8hpp" ], [ "hat.hpp", "hat_8hpp.html", "hat_8hpp" ], [ "inv.hpp", "inv_8hpp.html", "inv_8hpp" ], @@ -13,5 +15,6 @@ var dir_d784f51d362276329e5940df711baf3d = [ "pinv.hpp", "pinv_8hpp.html", "pinv_8hpp" ], [ "pivotLU_decomposition.hpp", "pivot_l_u__decomposition_8hpp.html", "pivot_l_u__decomposition_8hpp" ], [ "solve.hpp", "solve_8hpp.html", "solve_8hpp" ], - [ "svd.hpp", "svd_8hpp.html", "svd_8hpp" ] + [ "svd.hpp", "svd_8hpp.html", "svd_8hpp" ], + [ "svdvals.hpp", "svdvals_8hpp.html", "svdvals_8hpp" ] ]; \ No newline at end of file diff --git a/docs/doxygen/html/dir_e70e3c350b58629b2f80cdf8725e71de.html b/docs/doxygen/html/dir_e70e3c350b58629b2f80cdf8725e71de.html index 8004a0639..a086ac7bb 100644 --- a/docs/doxygen/html/dir_e70e3c350b58629b2f80cdf8725e71de.html +++ b/docs/doxygen/html/dir_e70e3c350b58629b2f80cdf8725e71de.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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diff --git a/docs/doxygen/html/eig_8hpp.html b/docs/doxygen/html/eig_8hpp.html new file mode 100644 index 000000000..f98f0d791 --- /dev/null +++ b/docs/doxygen/html/eig_8hpp.html @@ -0,0 +1,161 @@ + + + + + + + + + NumCpp: eig.hpp File Reference + + + + + + + + + + + + + + + + + + + + + + + + +
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eig.hpp File Reference
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+
+
#include <utility>
+#include "NumCpp/Core/Internal/StaticAsserts.hpp"
+#include "NumCpp/Functions/eye.hpp"
+#include "NumCpp/NdArray.hpp"
+#include "NumCpp/Utils/sqr.hpp"
+
+

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+ + + + + + +

+Namespaces

namespace  nc
 
namespace  nc::linalg
 
+ + + + +

+Functions

template<typename dtype >
std::pair< NdArray< double >, NdArray< double > > nc::linalg::eig (const NdArray< dtype > &inA, double inTolerance=1e-12)
 
+

Detailed Description

+
Author
David Pilger dpilg.nosp@m.er26.nosp@m.@gmai.nosp@m.l.co.nosp@m.m GitHub Repository
+

License Copyright 2018-2026 David Pilger

+

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files(the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions :

+

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

+

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

+

Description linear least squares

+
+
+ + + + diff --git a/docs/doxygen/html/eig_8hpp.js b/docs/doxygen/html/eig_8hpp.js new file mode 100644 index 000000000..62e8a88a8 --- /dev/null +++ b/docs/doxygen/html/eig_8hpp.js @@ -0,0 +1,4 @@ +var eig_8hpp = +[ + [ "eig", "eig_8hpp.html#a1b037ada059b1292a794e6ffb1823a05", null ] +]; \ No newline at end of file diff --git a/docs/doxygen/html/eig_8hpp_source.html b/docs/doxygen/html/eig_8hpp_source.html new file mode 100644 index 000000000..5de56e516 --- /dev/null +++ b/docs/doxygen/html/eig_8hpp_source.html @@ -0,0 +1,264 @@ + + + + + + + + + NumCpp: eig.hpp Source File + + + + + + + + + + + + + + + + + + + + + + + + +
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eig.hpp
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1
+
28#pragma once
+
29
+
30#include <utility>
+
31
+
32#include "NumCpp/Core/Internal/StaticAsserts.hpp"
+
33#include "NumCpp/Functions/eye.hpp"
+
34#include "NumCpp/NdArray.hpp"
+
35#include "NumCpp/Utils/sqr.hpp"
+
36
+
37namespace nc::linalg
+
38{
+
39 //============================================================================
+
40 // Method Description:
+
52 template<typename dtype>
+
+
53 std::pair<NdArray<double>, NdArray<double>> eig(const NdArray<dtype>& inA, double inTolerance = 1e-12)
+
54 {
+
55 STATIC_ASSERT_ARITHMETIC(dtype);
+
56
+
57 if (!inA.issquare())
+
58 {
+
59 THROW_INVALID_ARGUMENT_ERROR("Input array must be square.");
+
60 }
+
61
+
62 const auto n = inA.numRows();
+
63 auto b = inA.template astype<double>();
+
64 auto eigenVectors = eye<double>(n);
+
65 auto eigenVals = NdArray<double>(1, n);
+
66
+
67 constexpr auto MAX_ITERATIONS = 10000;
+
68 for (auto iter = 0u; iter < MAX_ITERATIONS; ++iter)
+
69 {
+
70 auto max_off_diag = 0.;
+
71 auto p = 0u;
+
72 auto q = 1u;
+
73
+
74 for (auto i = 0u; i < n; i++)
+
75 {
+
76 for (auto j = i + 1; j < n; j++)
+
77 {
+
78 const auto val = std::fabs(b(i, j));
+
79 if (val > max_off_diag)
+
80 {
+
81 max_off_diag = val;
+
82 p = i;
+
83 q = j;
+
84 }
+
85 }
+
86 }
+
87
+
88 if (max_off_diag < inTolerance)
+
89 {
+
90 break;
+
91 }
+
92
+
93 const auto app = b(p, p);
+
94 const auto aqq = b(q, q);
+
95 const auto apq = b(p, q);
+
96
+
97 const auto theta = (aqq - app) / (2. * apq);
+
98 const auto onePlusThetaSqr = std::sqrt(1. + utils::sqr(theta));
+
99 const auto t = (theta >= 0.) ? 1. / (theta + onePlusThetaSqr) : 1. / (theta - onePlusThetaSqr);
+
100 const auto c = 1.0 / std::sqrt(1. + utils::sqr(t));
+
101 const auto s = t * c;
+
102
+
103 for (auto i = 0u; i < n; ++i)
+
104 {
+
105 if (i != p && i != q)
+
106 {
+
107 const auto bip = b(i, p);
+
108 const auto biq = b(i, q);
+
109 b(i, p) = c * bip - s * biq;
+
110 b(p, i) = b(i, p);
+
111 b(i, q) = s * bip + c * biq;
+
112 b(q, i) = b(i, q);
+
113 }
+
114 }
+
115
+
116 b(p, p) = c * c * app + s * s * aqq - 2. * c * s * apq;
+
117 b(q, q) = s * s * app + c * c * aqq + 2. * c * s * apq;
+
118 b(p, q) = 0.;
+
119 b(q, p) = 0.;
+
120
+
121 for (auto i = 0u; i < n; ++i)
+
122 {
+
123 const auto vip = eigenVectors(i, p);
+
124 const auto viq = eigenVectors(i, q);
+
125 eigenVectors(i, p) = c * vip - s * viq;
+
126 eigenVectors(i, q) = s * vip + c * viq;
+
127 }
+
128 }
+
129
+
130 for (auto i = 0u; i < n; ++i)
+
131 {
+
132 eigenVals[i] = b(i, i);
+
133 }
+
134
+
135 for (auto i = 0u; i < n - 1; ++i)
+
136 {
+
137 for (auto j = i + 1; j < n; ++j)
+
138 {
+
139 if (eigenVals[i] < eigenVals[j])
+
140 {
+
141 std::swap(eigenVals[i], eigenVals[j]);
+
142
+
143 for (auto k = 0u; k < n; ++k)
+
144 {
+
145 std::swap(eigenVectors(k, i), eigenVectors(k, j));
+
146 }
+
147 }
+
148 }
+
149 }
+
150
+
151 return std::make_pair(eigenVals, eigenVectors);
+
152 }
+
+
153} // namespace nc::linalg
+
THROW_INVALID_ARGUMENT_ERROR
#define THROW_INVALID_ARGUMENT_ERROR(msg)
Definition Error.hpp:37
+ + +
STATIC_ASSERT_ARITHMETIC
#define STATIC_ASSERT_ARITHMETIC(dtype)
Definition StaticAsserts.hpp:39
+
nc::NdArray
Holds 1D and 2D arrays, the main work horse of the NumCpp library.
Definition NdArrayCore.hpp:139
+ +
nc::linalg
Definition cholesky.hpp:41
+
nc::linalg::eig
std::pair< NdArray< double >, NdArray< double > > eig(const NdArray< dtype > &inA, double inTolerance=1e-12)
Definition eig.hpp:53
+
nc::utils::sqr
constexpr dtype sqr(dtype inValue) noexcept
Definition sqr.hpp:42
+
nc::arange
NdArray< dtype > arange(dtype inStart, dtype inStop, dtype inStep=1)
Definition arange.hpp:59
+ +
+
+ + + + diff --git a/docs/doxygen/html/eigvals_8hpp.html b/docs/doxygen/html/eigvals_8hpp.html new file mode 100644 index 000000000..7a3edbc16 --- /dev/null +++ b/docs/doxygen/html/eigvals_8hpp.html @@ -0,0 +1,159 @@ + + + + + + + + + NumCpp: eigvals.hpp File Reference + + + + + + + + + + + + + + + + + + + + + + + + +
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eigvals.hpp File Reference
+
+
+
#include "NumCpp/Core/Internal/StaticAsserts.hpp"
+#include "NumCpp/Linalg/eig.hpp"
+#include "NumCpp/NdArray.hpp"
+
+

Go to the source code of this file.

+ + + + + + +

+Namespaces

namespace  nc
 
namespace  nc::linalg
 
+ + + + +

+Functions

template<typename dtype >
NdArray< double > nc::linalg::eigvals (const NdArray< dtype > &inA, double inTolerance=1e-12)
 
+

Detailed Description

+
Author
David Pilger dpilg.nosp@m.er26.nosp@m.@gmai.nosp@m.l.co.nosp@m.m GitHub Repository
+

License Copyright 2018-2026 David Pilger

+

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files(the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions :

+

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

+

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

+

Description linear least squares

+
+
+ + + + diff --git a/docs/doxygen/html/eigvals_8hpp.js b/docs/doxygen/html/eigvals_8hpp.js new file mode 100644 index 000000000..2bf404f8e --- /dev/null +++ b/docs/doxygen/html/eigvals_8hpp.js @@ -0,0 +1,4 @@ +var eigvals_8hpp = +[ + [ "eigvals", "eigvals_8hpp.html#a2853cd2015993be7a86f9ba823601ca6", null ] +]; \ No newline at end of file diff --git a/docs/doxygen/html/eigvals_8hpp_source.html b/docs/doxygen/html/eigvals_8hpp_source.html new file mode 100644 index 000000000..49a58da50 --- /dev/null +++ b/docs/doxygen/html/eigvals_8hpp_source.html @@ -0,0 +1,167 @@ + + + + + + + + + NumCpp: eigvals.hpp Source File + + + + + + + + + + + + + + + + + + + + + + + + +
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1
+
28#pragma once
+
29
+
30#include "NumCpp/Core/Internal/StaticAsserts.hpp"
+
31#include "NumCpp/Linalg/eig.hpp"
+
32#include "NumCpp/NdArray.hpp"
+
33
+
34namespace nc::linalg
+
35{
+
36 //============================================================================
+
37 // Method Description:
+
49 template<typename dtype>
+
+
50 NdArray<double> eigvals(const NdArray<dtype>& inA, double inTolerance = 1e-12)
+
51 {
+
52 STATIC_ASSERT_ARITHMETIC(dtype);
+
53
+
54 const auto& [eigenValues, _] = eig(inA, inTolerance);
+
55
+
56 return eigenValues;
+
57 }
+
+
58} // namespace nc::linalg
+ + +
STATIC_ASSERT_ARITHMETIC
#define STATIC_ASSERT_ARITHMETIC(dtype)
Definition StaticAsserts.hpp:39
+
nc::NdArray
Holds 1D and 2D arrays, the main work horse of the NumCpp library.
Definition NdArrayCore.hpp:139
+ +
nc::linalg
Definition cholesky.hpp:41
+
nc::linalg::eig
std::pair< NdArray< double >, NdArray< double > > eig(const NdArray< dtype > &inA, double inTolerance=1e-12)
Definition eig.hpp:53
+
nc::linalg::eigvals
NdArray< double > eigvals(const NdArray< dtype > &inA, double inTolerance=1e-12)
Definition eigvals.hpp:50
+
nc::arange
NdArray< dtype > arange(dtype inStart, dtype inStop, dtype inStep=1)
Definition arange.hpp:59
+
+
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/ellint__3_8hpp.html b/docs/doxygen/html/ellint__3_8hpp.html index 6f4f461bf..ca719e3e7 100644 --- a/docs/doxygen/html/ellint__3_8hpp.html +++ b/docs/doxygen/html/ellint__3_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/ellint__3_8hpp_source.html b/docs/doxygen/html/ellint__3_8hpp_source.html index 0b896df7f..3a0dd5120 100644 --- a/docs/doxygen/html/ellint__3_8hpp_source.html +++ b/docs/doxygen/html/ellint__3_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/empty_8hpp.html b/docs/doxygen/html/empty_8hpp.html index b270bbd6b..cfb456679 100644 --- a/docs/doxygen/html/empty_8hpp.html +++ b/docs/doxygen/html/empty_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/empty_8hpp_source.html b/docs/doxygen/html/empty_8hpp_source.html index 72e078da3..f318820ba 100644 --- a/docs/doxygen/html/empty_8hpp_source.html +++ b/docs/doxygen/html/empty_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/empty__like_8hpp.html b/docs/doxygen/html/empty__like_8hpp.html index f721f9442..825c27393 100644 --- a/docs/doxygen/html/empty__like_8hpp.html +++ b/docs/doxygen/html/empty__like_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/empty__like_8hpp_source.html b/docs/doxygen/html/empty__like_8hpp_source.html index 36919ad85..58f854ca1 100644 --- a/docs/doxygen/html/empty__like_8hpp_source.html +++ b/docs/doxygen/html/empty__like_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/endianess_8hpp.html b/docs/doxygen/html/endianess_8hpp.html index a85df51b3..65fabbc1e 100644 --- a/docs/doxygen/html/endianess_8hpp.html +++ b/docs/doxygen/html/endianess_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/endianess_8hpp_source.html b/docs/doxygen/html/endianess_8hpp_source.html index a9c678bc6..4d745cc17 100644 --- a/docs/doxygen/html/endianess_8hpp_source.html +++ b/docs/doxygen/html/endianess_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/equal_8hpp.html b/docs/doxygen/html/equal_8hpp.html index aa06b1f5b..47b99d681 100644 --- a/docs/doxygen/html/equal_8hpp.html +++ b/docs/doxygen/html/equal_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/equal_8hpp_source.html b/docs/doxygen/html/equal_8hpp_source.html index abbac65ed..802fb3a9d 100644 --- a/docs/doxygen/html/equal_8hpp_source.html +++ b/docs/doxygen/html/equal_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/erf_8hpp.html b/docs/doxygen/html/erf_8hpp.html index e6eb2224c..9edde358e 100644 --- a/docs/doxygen/html/erf_8hpp.html +++ b/docs/doxygen/html/erf_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/erf_8hpp_source.html b/docs/doxygen/html/erf_8hpp_source.html index cdf613238..d1de14b9e 100644 --- a/docs/doxygen/html/erf_8hpp_source.html +++ b/docs/doxygen/html/erf_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/erf__inv_8hpp.html b/docs/doxygen/html/erf__inv_8hpp.html index ca222ba38..a878b57ea 100644 --- a/docs/doxygen/html/erf__inv_8hpp.html +++ b/docs/doxygen/html/erf__inv_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/erfc_8hpp.html b/docs/doxygen/html/erfc_8hpp.html index a0c917837..5526a659a 100644 --- a/docs/doxygen/html/erfc_8hpp.html +++ b/docs/doxygen/html/erfc_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/erfc_8hpp_source.html b/docs/doxygen/html/erfc_8hpp_source.html index d8e8907af..6dd8b094b 100644 --- a/docs/doxygen/html/erfc_8hpp_source.html +++ b/docs/doxygen/html/erfc_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/erfc__inv_8hpp.html b/docs/doxygen/html/erfc__inv_8hpp.html index 2dbe16883..e0cdeb779 100644 --- a/docs/doxygen/html/erfc__inv_8hpp.html +++ b/docs/doxygen/html/erfc__inv_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/erfc__inv_8hpp_source.html b/docs/doxygen/html/erfc__inv_8hpp_source.html index 82119ac53..713dda8a8 100644 --- a/docs/doxygen/html/erfc__inv_8hpp_source.html +++ b/docs/doxygen/html/erfc__inv_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/essentially_equal_8hpp.html b/docs/doxygen/html/essentially_equal_8hpp.html index 1ef1f8900..d0519da3b 100644 --- a/docs/doxygen/html/essentially_equal_8hpp.html +++ b/docs/doxygen/html/essentially_equal_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/essentially_equal_complex_8hpp.html b/docs/doxygen/html/essentially_equal_complex_8hpp.html index 0d7401ffc..a696915e1 100644 --- a/docs/doxygen/html/essentially_equal_complex_8hpp.html +++ b/docs/doxygen/html/essentially_equal_complex_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/essentially_equal_complex_8hpp_source.html b/docs/doxygen/html/essentially_equal_complex_8hpp_source.html index 11a105e7f..92f53d31d 100644 --- a/docs/doxygen/html/essentially_equal_complex_8hpp_source.html +++ b/docs/doxygen/html/essentially_equal_complex_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/examples.html b/docs/doxygen/html/examples.html index 565a612f0..844780820 100644 --- a/docs/doxygen/html/examples.html +++ b/docs/doxygen/html/examples.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/exp2_8hpp.html b/docs/doxygen/html/exp2_8hpp.html index 4d765dca8..e1cd4844f 100644 --- a/docs/doxygen/html/exp2_8hpp.html +++ b/docs/doxygen/html/exp2_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/exp2_8hpp_source.html b/docs/doxygen/html/exp2_8hpp_source.html index e00d8b24d..0c44912f7 100644 --- a/docs/doxygen/html/exp2_8hpp_source.html +++ b/docs/doxygen/html/exp2_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/exp_8hpp.html b/docs/doxygen/html/exp_8hpp.html index be3e4d7e4..61e932c76 100644 --- a/docs/doxygen/html/exp_8hpp.html +++ b/docs/doxygen/html/exp_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/exp_8hpp_source.html b/docs/doxygen/html/exp_8hpp_source.html index 05b72776b..0d0f48914 100644 --- a/docs/doxygen/html/exp_8hpp_source.html +++ b/docs/doxygen/html/exp_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/expint_8hpp.html b/docs/doxygen/html/expint_8hpp.html index 7b1300c72..e071bbcd0 100644 --- a/docs/doxygen/html/expint_8hpp.html +++ b/docs/doxygen/html/expint_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/expint_8hpp_source.html b/docs/doxygen/html/expint_8hpp_source.html index 712ff9655..1a84965d2 100644 --- a/docs/doxygen/html/expint_8hpp_source.html +++ b/docs/doxygen/html/expint_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/expm1_8hpp.html b/docs/doxygen/html/expm1_8hpp.html index d2602a629..f9f808acf 100644 --- a/docs/doxygen/html/expm1_8hpp.html +++ b/docs/doxygen/html/expm1_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/expm1_8hpp_source.html b/docs/doxygen/html/expm1_8hpp_source.html index 396ca35f6..75257e355 100644 --- a/docs/doxygen/html/expm1_8hpp_source.html +++ b/docs/doxygen/html/expm1_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/exponential_8hpp.html b/docs/doxygen/html/exponential_8hpp.html index 8d9361617..8b725b33f 100644 --- a/docs/doxygen/html/exponential_8hpp.html +++ b/docs/doxygen/html/exponential_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/exponential_8hpp_source.html b/docs/doxygen/html/exponential_8hpp_source.html index abb204aa8..f1800319c 100644 --- a/docs/doxygen/html/exponential_8hpp_source.html +++ b/docs/doxygen/html/exponential_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/extract_8hpp.html b/docs/doxygen/html/extract_8hpp.html index ce98ba233..2032de71b 100644 --- a/docs/doxygen/html/extract_8hpp.html +++ b/docs/doxygen/html/extract_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/extract_8hpp_source.html b/docs/doxygen/html/extract_8hpp_source.html index b455eac61..9d399c59e 100644 --- a/docs/doxygen/html/extract_8hpp_source.html +++ b/docs/doxygen/html/extract_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/extreme_value_8hpp.html b/docs/doxygen/html/extreme_value_8hpp.html index 4515f2ce1..746e975bc 100644 --- a/docs/doxygen/html/extreme_value_8hpp.html +++ b/docs/doxygen/html/extreme_value_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/extreme_value_8hpp_source.html b/docs/doxygen/html/extreme_value_8hpp_source.html index 51478c257..25a6d4015 100644 --- a/docs/doxygen/html/extreme_value_8hpp_source.html +++ b/docs/doxygen/html/extreme_value_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/eye_8hpp.html b/docs/doxygen/html/eye_8hpp.html index f2279a8ba..b2eaec67d 100644 --- a/docs/doxygen/html/eye_8hpp.html +++ b/docs/doxygen/html/eye_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/eye_8hpp_source.html b/docs/doxygen/html/eye_8hpp_source.html index 63fa58cfe..76141d1ec 100644 --- a/docs/doxygen/html/eye_8hpp_source.html +++ b/docs/doxygen/html/eye_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/f_8hpp.html b/docs/doxygen/html/f_8hpp.html index 48f61454a..3dfabd74f 100644 --- a/docs/doxygen/html/f_8hpp.html +++ b/docs/doxygen/html/f_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/f_8hpp_source.html b/docs/doxygen/html/f_8hpp_source.html index ebe86135d..af9edc780 100644 --- a/docs/doxygen/html/f_8hpp_source.html +++ b/docs/doxygen/html/f_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/factorial_8hpp.html b/docs/doxygen/html/factorial_8hpp.html index 1d88eb1f1..07b3a56cf 100644 --- a/docs/doxygen/html/factorial_8hpp.html +++ b/docs/doxygen/html/factorial_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/factorial_8hpp_source.html b/docs/doxygen/html/factorial_8hpp_source.html index 44104393e..2546cb434 100644 --- a/docs/doxygen/html/factorial_8hpp_source.html +++ b/docs/doxygen/html/factorial_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/fft2_8hpp.html b/docs/doxygen/html/fft2_8hpp.html index 336a5a044..df6346fe3 100644 --- a/docs/doxygen/html/fft2_8hpp.html +++ b/docs/doxygen/html/fft2_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/fft2_8hpp_source.html b/docs/doxygen/html/fft2_8hpp_source.html index 89ba71e08..d49533cdb 100644 --- a/docs/doxygen/html/fft2_8hpp_source.html +++ b/docs/doxygen/html/fft2_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/fftfreq_8hpp.html b/docs/doxygen/html/fftfreq_8hpp.html index fc10e7fe2..e2469473a 100644 --- a/docs/doxygen/html/fftfreq_8hpp.html +++ b/docs/doxygen/html/fftfreq_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/fftfreq_8hpp_source.html b/docs/doxygen/html/fftfreq_8hpp_source.html index d78d44911..b41f5aedc 100644 --- a/docs/doxygen/html/fftfreq_8hpp_source.html +++ b/docs/doxygen/html/fftfreq_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/fftshift_8hpp.html b/docs/doxygen/html/fftshift_8hpp.html index 0a5d22cb5..fbb261435 100644 --- a/docs/doxygen/html/fftshift_8hpp.html +++ b/docs/doxygen/html/fftshift_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/fftshift_8hpp_source.html b/docs/doxygen/html/fftshift_8hpp_source.html index f175fad23..7694aa525 100644 --- a/docs/doxygen/html/fftshift_8hpp_source.html +++ b/docs/doxygen/html/fftshift_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/files.html b/docs/doxygen/html/files.html index 0d5724f67..acef02365 100644 --- a/docs/doxygen/html/files.html +++ b/docs/doxygen/html/files.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -533,20 +533,23 @@  trapazoidal.hpp  ► Linalg  ► svd - SVDClass.hpp + SVD.hpp  cholesky.hpp  det.hpp - gaussNewtonNlls.hpp - hat.hpp - inv.hpp - lstsq.hpp - lu_decomposition.hpp - matrix_power.hpp - multi_dot.hpp - pinv.hpp - pivotLU_decomposition.hpp - solve.hpp - svd.hpp + eig.hpp + eigvals.hpp + gaussNewtonNlls.hpp + hat.hpp + inv.hpp + lstsq.hpp + lu_decomposition.hpp + matrix_power.hpp + multi_dot.hpp + pinv.hpp + pivotLU_decomposition.hpp + solve.hpp + svd.hpp + svdvals.hpp  ► Logging  BinaryLogger.hpp  Logger.hpp diff --git a/docs/doxygen/html/fill_corners_8hpp.html b/docs/doxygen/html/fill_corners_8hpp.html index 9258300c5..74591615d 100644 --- a/docs/doxygen/html/fill_corners_8hpp.html +++ b/docs/doxygen/html/fill_corners_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/fill_corners_8hpp_source.html b/docs/doxygen/html/fill_corners_8hpp_source.html index db1a9e06a..35fe563cd 100644 --- a/docs/doxygen/html/fill_corners_8hpp_source.html +++ b/docs/doxygen/html/fill_corners_8hpp_source.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/fill_diagnol_8hpp.html b/docs/doxygen/html/fill_diagnol_8hpp.html index 926597d5e..a99759b37 100644 --- a/docs/doxygen/html/fill_diagnol_8hpp.html +++ b/docs/doxygen/html/fill_diagnol_8hpp.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
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A Templatized Header Only C++ Implementation of the Python NumPy Library
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NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/functions_func_k.html b/docs/doxygen/html/functions_func_k.html index 6987a9cb2..5050087e3 100644 --- a/docs/doxygen/html/functions_func_k.html +++ b/docs/doxygen/html/functions_func_k.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/functions_func_l.html b/docs/doxygen/html/functions_func_l.html index 2fbe20828..082d50123 100644 --- a/docs/doxygen/html/functions_func_l.html +++ b/docs/doxygen/html/functions_func_l.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -124,6 +124,7 @@

- l -

diff --git a/docs/doxygen/html/functions_func_m.html b/docs/doxygen/html/functions_func_m.html index 2a05ddcaf..0fe4db140 100644 --- a/docs/doxygen/html/functions_func_m.html +++ b/docs/doxygen/html/functions_func_m.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/functions_func_n.html b/docs/doxygen/html/functions_func_n.html index 826f33478..d94d2265d 100644 --- a/docs/doxygen/html/functions_func_n.html +++ b/docs/doxygen/html/functions_func_n.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/functions_func_o.html b/docs/doxygen/html/functions_func_o.html index c45683ab0..edd947970 100644 --- a/docs/doxygen/html/functions_func_o.html +++ b/docs/doxygen/html/functions_func_o.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
diff --git a/docs/doxygen/html/functions_func_p.html b/docs/doxygen/html/functions_func_p.html index 78ac7f3a5..a32b838b9 100644 --- a/docs/doxygen/html/functions_func_p.html +++ b/docs/doxygen/html/functions_func_p.html @@ -50,7 +50,7 @@ Logo
NumCpp -  2.15.0 +  2.16.0
A Templatized Header Only C++ Implementation of the Python NumPy Library
@@ -120,6 +120,7 @@

- p -

  • partition() : nc::NdArray< dtype, Allocator >
  • peakPixelIntensity() : nc::imageProcessing::Cluster< dtype >
  • permutation() : nc::random::RNG< GeneratorType >
    • +
  • pinv() : nc::linalg::SVD< dtype >
  • pitch() : nc::rotations::DCM, nc::rotations::Quaternion
  • pitchRotation() : nc::rotations::Quaternion
  • Pixel() : nc::imageProcessing::Pixel< dtype >
    • @@ -131,7 +132,7 @@

    - p -

    diff --git a/docs/doxygen/html/functions_func_q.html b/docs/doxygen/html/functions_func_q.html index c2a36bd20..322297c55 100644 --- a/docs/doxygen/html/functions_func_q.html +++ b/docs/doxygen/html/functions_func_q.html @@ -50,7 +50,7 @@ Logo
    NumCpp -  2.15.0 +  2.16.0
    A Templatized Header Only C++ Implementation of the Python NumPy Library
    diff --git a/docs/doxygen/html/functions_func_r.html b/docs/doxygen/html/functions_func_r.html index 18a0b637b..019091866 100644 --- a/docs/doxygen/html/functions_func_r.html +++ b/docs/doxygen/html/functions_func_r.html @@ -50,7 +50,7 @@ Logo
    NumCpp -  2.15.0 +  2.16.0
    A Templatized Header Only C++ Implementation of the Python NumPy Library
    @@ -118,7 +118,7 @@

    - r -

    • ra() : nc::coordinates::reference_frames::Celestial
      • -
    • RA() : nc::coordinates::reference_frames::RA
      • +
    • RA() : nc::coordinates::reference_frames::RA
    • radians() : nc::coordinates::reference_frames::Dec, nc::coordinates::reference_frames::RA
    • radianSeperation() : nc::coordinates::reference_frames::Celestial
    • rand() : nc::random::RNG< GeneratorType >
      • diff --git a/docs/doxygen/html/functions_func_s.html b/docs/doxygen/html/functions_func_s.html index f32df9d7a..e85899f6e 100644 --- a/docs/doxygen/html/functions_func_s.html +++ b/docs/doxygen/html/functions_func_s.html @@ -50,7 +50,7 @@ Logo
      NumCpp -  2.15.0 +  2.16.0
      A Templatized Header Only C++ Implementation of the Python NumPy Library
      @@ -117,7 +117,7 @@
      Here is a list of all functions with links to the structures/unions they belong to:

      - s -

        -
      • s() : nc::linalg::SVD, nc::rotations::Quaternion
        • +
      • s() : nc::linalg::SVD< dtype >, nc::rotations::Quaternion
      • Secant() : nc::roots::Secant
      • second() : nc::DateTime
      • seconds() : nc::coordinates::reference_frames::Dec, nc::coordinates::reference_frames::RA
        • @@ -148,14 +148,15 @@

        - s -

        • sliceZAll() : nc::DataCube< dtype >
        • sliceZAllat() : nc::DataCube< dtype >
        • sliceZat() : nc::DataCube< dtype >
          • -
        • solve() : nc::linalg::SVD, nc::roots::Bisection, nc::roots::Brent, nc::roots::Dekker, nc::roots::Newton, nc::roots::Secant
          • +
        • solve() : nc::roots::Bisection, nc::roots::Brent, nc::roots::Dekker, nc::roots::Newton, nc::roots::Secant
        • sort() : nc::NdArray< dtype, Allocator >
          • -
        • standardNormal() : nc::random::RNG< GeneratorType >
          • +
        • standardNormal() : nc::random::RNG< GeneratorType >
          • +
        • STATIC_ASSERT_ARITHMETIC() : nc::linalg::SVD< dtype >
        • str() : nc::coordinates::reference_frames::Celestial, nc::coordinates::reference_frames::Dec, nc::coordinates::reference_frames::RA, nc::imageProcessing::Centroid< dtype >, nc::imageProcessing::Cluster< dtype >, nc::imageProcessing::Pixel< dtype >, nc::NdArray< dtype, Allocator >, nc::polynomial::Poly1d< dtype >, nc::rotations::Quaternion, nc::Shape, nc::Slice
        • strToTimepoint() : nc::DateTime
        • studentT() : nc::random::RNG< GeneratorType >
        • sum() : nc::NdArray< dtype, Allocator >
          • -
        • SVD() : nc::linalg::SVD
          • +
        • SVD() : nc::linalg::SVD< dtype >
        • swapaxes() : nc::NdArray< dtype, Allocator >
        • swapCols() : nc::NdArray< dtype, Allocator >
        • swapRows() : nc::NdArray< dtype, Allocator >
          • diff --git a/docs/doxygen/html/functions_func_t.html b/docs/doxygen/html/functions_func_t.html index f9726a369..32e521041 100644 --- a/docs/doxygen/html/functions_func_t.html +++ b/docs/doxygen/html/functions_func_t.html @@ -50,7 +50,7 @@ Logo
          NumCpp -  2.15.0 +  2.16.0
          A Templatized Header Only C++ Implementation of the Python NumPy Library
          diff --git a/docs/doxygen/html/functions_func_u.html b/docs/doxygen/html/functions_func_u.html index ebab6dfbe..2fbd4ec36 100644 --- a/docs/doxygen/html/functions_func_u.html +++ b/docs/doxygen/html/functions_func_u.html @@ -50,7 +50,7 @@ Logo
          NumCpp -  2.15.0 +  2.16.0
          A Templatized Header Only C++ Implementation of the Python NumPy Library
          @@ -117,7 +117,7 @@
          Here is a list of all functions with links to the structures/unions they belong to:

          - u -

            -
          • u() : nc::linalg::SVD
            • +
          • u() : nc::linalg::SVD< dtype >
          • uniform() : nc::random::RNG< GeneratorType >
          • uniformOnSphere() : nc::random::RNG< GeneratorType >
          • up() : nc::coordinates::reference_frames::ENU, nc::Vec2, nc::Vec3
            • diff --git a/docs/doxygen/html/functions_func_v.html b/docs/doxygen/html/functions_func_v.html index e184d378c..f2bd357e4 100644 --- a/docs/doxygen/html/functions_func_v.html +++ b/docs/doxygen/html/functions_func_v.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            @@ -117,7 +117,7 @@
            Here is a list of all functions with links to the structures/unions they belong to:

            - v -

            diff --git a/docs/doxygen/html/functions_func_w.html b/docs/doxygen/html/functions_func_w.html index aba058aba..4959b4050 100644 --- a/docs/doxygen/html/functions_func_w.html +++ b/docs/doxygen/html/functions_func_w.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_func_x.html b/docs/doxygen/html/functions_func_x.html index 485c426b2..e5a6a2eeb 100644 --- a/docs/doxygen/html/functions_func_x.html +++ b/docs/doxygen/html/functions_func_x.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_func_y.html b/docs/doxygen/html/functions_func_y.html index a52b6b37b..8c0899765 100644 --- a/docs/doxygen/html/functions_func_y.html +++ b/docs/doxygen/html/functions_func_y.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_func_z.html b/docs/doxygen/html/functions_func_z.html index dd494d7d2..8e1798c57 100644 --- a/docs/doxygen/html/functions_func_z.html +++ b/docs/doxygen/html/functions_func_z.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_func_~.html b/docs/doxygen/html/functions_func_~.html index 693517176..fc6f3ea10 100644 --- a/docs/doxygen/html/functions_func_~.html +++ b/docs/doxygen/html/functions_func_~.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_g.html b/docs/doxygen/html/functions_g.html index 217ab1dcf..108cb530e 100644 --- a/docs/doxygen/html/functions_g.html +++ b/docs/doxygen/html/functions_g.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_h.html b/docs/doxygen/html/functions_h.html index 5286e9fe1..3f4970577 100644 --- a/docs/doxygen/html/functions_h.html +++ b/docs/doxygen/html/functions_h.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_i.html b/docs/doxygen/html/functions_i.html index f3d269efd..8859d4009 100644 --- a/docs/doxygen/html/functions_i.html +++ b/docs/doxygen/html/functions_i.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_j.html b/docs/doxygen/html/functions_j.html index eeb508893..be7da0f4f 100644 --- a/docs/doxygen/html/functions_j.html +++ b/docs/doxygen/html/functions_j.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_k.html b/docs/doxygen/html/functions_k.html index 2c55f39d3..c13cac328 100644 --- a/docs/doxygen/html/functions_k.html +++ b/docs/doxygen/html/functions_k.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_l.html b/docs/doxygen/html/functions_l.html index c0324017d..48c8f2684 100644 --- a/docs/doxygen/html/functions_l.html +++ b/docs/doxygen/html/functions_l.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            @@ -127,6 +127,7 @@

            - l -

            diff --git a/docs/doxygen/html/functions_m.html b/docs/doxygen/html/functions_m.html index 346cc727e..b4e226687 100644 --- a/docs/doxygen/html/functions_m.html +++ b/docs/doxygen/html/functions_m.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_n.html b/docs/doxygen/html/functions_n.html index 83caf56b6..c7f92900b 100644 --- a/docs/doxygen/html/functions_n.html +++ b/docs/doxygen/html/functions_n.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_o.html b/docs/doxygen/html/functions_o.html index a4e396ab3..5ab6f807a 100644 --- a/docs/doxygen/html/functions_o.html +++ b/docs/doxygen/html/functions_o.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            diff --git a/docs/doxygen/html/functions_p.html b/docs/doxygen/html/functions_p.html index 051128cb9..f9dc9f2ce 100644 --- a/docs/doxygen/html/functions_p.html +++ b/docs/doxygen/html/functions_p.html @@ -50,7 +50,7 @@ Logo
            NumCpp -  2.15.0 +  2.16.0
            A Templatized Header Only C++ Implementation of the Python NumPy Library
            @@ -121,6 +121,7 @@

            - p -

            • peakPixelIntensity() : nc::imageProcessing::Cluster< dtype >
            • permutation() : nc::random::RNG< GeneratorType >
            • phi : nc::coordinates::Euler
              • +
            • pinv() : nc::linalg::SVD< dtype >
            • pitch : nc::coordinates::Orientation, nc::rotations::DCM, nc::rotations::Quaternion
            • pitchRotation() : nc::rotations::Quaternion
            • Pixel() : nc::imageProcessing::Pixel< dtype >
              • diff --git a/docs/doxygen/html/functions_q.html b/docs/doxygen/html/functions_q.html index 54eac61c9..8f15fcb9a 100644 --- a/docs/doxygen/html/functions_q.html +++ b/docs/doxygen/html/functions_q.html @@ -50,7 +50,7 @@ Logo
              NumCpp -  2.15.0 +  2.16.0
              A Templatized Header Only C++ Implementation of the Python NumPy Library
              diff --git a/docs/doxygen/html/functions_r.html b/docs/doxygen/html/functions_r.html index 7288e3556..e4f1bdfe2 100644 --- a/docs/doxygen/html/functions_r.html +++ b/docs/doxygen/html/functions_r.html @@ -50,7 +50,7 @@ Logo
              NumCpp -  2.15.0 +  2.16.0
              A Templatized Header Only C++ Implementation of the Python NumPy Library
              @@ -118,7 +118,7 @@

              - r -

              • ra() : nc::coordinates::reference_frames::Celestial
                • -
              • RA() : nc::coordinates::reference_frames::RA
                • +
              • RA() : nc::coordinates::reference_frames::RA
              • radians() : nc::coordinates::reference_frames::Dec, nc::coordinates::reference_frames::RA
              • radianSeperation() : nc::coordinates::reference_frames::Celestial
              • radius : nc::coordinates::reference_frames::Geocentric
                • diff --git a/docs/doxygen/html/functions_rela.html b/docs/doxygen/html/functions_rela.html index 9538391dd..32108d599 100644 --- a/docs/doxygen/html/functions_rela.html +++ b/docs/doxygen/html/functions_rela.html @@ -50,7 +50,7 @@ Logo
                NumCpp -  2.15.0 +  2.16.0
                A Templatized Header Only C++ Implementation of the Python NumPy Library
                diff --git a/docs/doxygen/html/functions_s.html b/docs/doxygen/html/functions_s.html index 42fd67946..8b33987f1 100644 --- a/docs/doxygen/html/functions_s.html +++ b/docs/doxygen/html/functions_s.html @@ -50,7 +50,7 @@ Logo
                NumCpp -  2.15.0 +  2.16.0
                A Templatized Header Only C++ Implementation of the Python NumPy Library
                @@ -117,7 +117,7 @@
                Here is a list of all struct and union fields with links to the structures/unions they belong to:

                - s -

                  -
                • s() : nc::linalg::SVD, nc::rotations::Quaternion
                  • +
                • s() : nc::linalg::SVD< dtype >, nc::rotations::Quaternion
                • Secant() : nc::roots::Secant
                • second() : nc::DateTime
                • seconds() : nc::coordinates::reference_frames::Dec, nc::coordinates::reference_frames::RA
                  • @@ -137,10 +137,10 @@

                  - s -

                  • setUp() : nc::coordinates::reference_frames::ENU
                  • setYear() : nc::DateTime
                  • shape() : nc::DataCube< dtype >, nc::NdArray< dtype, Allocator >
                    • -
                  • Shape() : nc::Shape
                    • +
                  • Shape() : nc::Shape
                  • shuffle() : nc::random::RNG< GeneratorType >
                    • -
                  • Sign : nc::coordinates::reference_frames::Dec
                  • sign() : nc::coordinates::reference_frames::Dec
                    • +
                  • Sign : nc::coordinates::reference_frames::Dec
                  • size() : nc::imageProcessing::Cluster< dtype >, nc::imageProcessing::ClusterMaker< dtype >, nc::NdArray< dtype, Allocator >, nc::Shape
                  • size_type : nc::NdArray< dtype, Allocator >, nc::NdArrayColumnIterator< dtype, SizeType, PointerType, DifferenceType >, nc::NdArrayConstColumnIterator< dtype, SizeType, PointerType, DifferenceType >
                  • sizeZ() : nc::DataCube< dtype >
                    • @@ -151,17 +151,18 @@

                    - s -

                    • sliceZAll() : nc::DataCube< dtype >
                    • sliceZAllat() : nc::DataCube< dtype >
                    • sliceZat() : nc::DataCube< dtype >
                      • -
                    • solve() : nc::linalg::SVD, nc::roots::Bisection, nc::roots::Brent, nc::roots::Dekker, nc::roots::Newton, nc::roots::Secant
                      • +
                    • solve() : nc::roots::Bisection, nc::roots::Brent, nc::roots::Dekker, nc::roots::Newton, nc::roots::Secant
                    • sort() : nc::NdArray< dtype, Allocator >
                      • -
                    • standardNormal() : nc::random::RNG< GeneratorType >
                      • +
                    • standardNormal() : nc::random::RNG< GeneratorType >
                    • start : nc::Slice
                      • +
                    • STATIC_ASSERT_ARITHMETIC() : nc::linalg::SVD< dtype >
                    • step : nc::Slice
                    • stop : nc::Slice
                    • str() : nc::coordinates::reference_frames::Celestial, nc::coordinates::reference_frames::Dec, nc::coordinates::reference_frames::RA, nc::imageProcessing::Centroid< dtype >, nc::imageProcessing::Cluster< dtype >, nc::imageProcessing::Pixel< dtype >, nc::NdArray< dtype, Allocator >, nc::polynomial::Poly1d< dtype >, nc::rotations::Quaternion, nc::Shape, nc::Slice
                    • strToTimepoint() : nc::DateTime
                    • studentT() : nc::random::RNG< GeneratorType >
                    • sum() : nc::NdArray< dtype, Allocator >
                      • -
                    • SVD() : nc::linalg::SVD
                      • +
                    • SVD() : nc::linalg::SVD< dtype >
                    • swapaxes() : nc::NdArray< dtype, Allocator >
                    • swapCols() : nc::NdArray< dtype, Allocator >
                    • swapRows() : nc::NdArray< dtype, Allocator >
                      • diff --git a/docs/doxygen/html/functions_t.html b/docs/doxygen/html/functions_t.html index d2fdb4dd7..925633ae7 100644 --- a/docs/doxygen/html/functions_t.html +++ b/docs/doxygen/html/functions_t.html @@ -50,7 +50,7 @@ Logo
                      NumCpp -  2.15.0 +  2.16.0
                      A Templatized Header Only C++ Implementation of the Python NumPy Library
                      @@ -125,6 +125,7 @@

                      - t -

                      • toDCM() : nc::rotations::Quaternion
                      • tofile() : nc::NdArray< dtype, Allocator >
                      • toIndices() : nc::NdArray< dtype, Allocator >, nc::Slice
                        • +
                      • TOLERANCE : nc::linalg::SVD< dtype >
                      • toNdArray() : nc::rotations::Quaternion, nc::Vec2, nc::Vec3
                      • toStlVector() : nc::NdArray< dtype, Allocator >
                      • toStr() : nc::DateTime
                        • diff --git a/docs/doxygen/html/functions_type.html b/docs/doxygen/html/functions_type.html index 54208c087..bfedf1aed 100644 --- a/docs/doxygen/html/functions_type.html +++ b/docs/doxygen/html/functions_type.html @@ -50,7 +50,7 @@ Logo
                        NumCpp -  2.15.0 +  2.16.0
                        A Templatized Header Only C++ Implementation of the Python NumPy Library
                        diff --git a/docs/doxygen/html/functions_u.html b/docs/doxygen/html/functions_u.html index 13f19c9bc..c6740bb62 100644 --- a/docs/doxygen/html/functions_u.html +++ b/docs/doxygen/html/functions_u.html @@ -50,7 +50,7 @@ Logo
                        NumCpp -  2.15.0 +  2.16.0
                        A Templatized Header Only C++ Implementation of the Python NumPy Library
                        @@ -117,7 +117,7 @@
                        Here is a list of all struct and union fields with links to the structures/unions they belong to:

                        - u -

                          -
                        • u() : nc::linalg::SVD
                          • +
                        • u() : nc::linalg::SVD< dtype >
                        • uniform() : nc::random::RNG< GeneratorType >
                        • uniformOnSphere() : nc::random::RNG< GeneratorType >
                        • up() : nc::coordinates::reference_frames::ENU, nc::Vec2, nc::Vec3
                          • diff --git a/docs/doxygen/html/functions_v.html b/docs/doxygen/html/functions_v.html index 494e1244e..0863297e0 100644 --- a/docs/doxygen/html/functions_v.html +++ b/docs/doxygen/html/functions_v.html @@ -50,7 +50,7 @@ Logo
                          NumCpp -  2.15.0 +  2.16.0
                          A Templatized Header Only C++ Implementation of the Python NumPy Library
                          @@ -117,7 +117,7 @@
                          Here is a list of all struct and union fields with links to the structures/unions they belong to:

                          - v -

                            -
                          • v() : nc::linalg::SVD
                            • +
                          • v() : nc::linalg::SVD< dtype >
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                          • value_type : nc::logger::detail::BinaryDataLogger< DataType >, nc::NdArray< dtype, Allocator >, nc::NdArrayColumnIterator< dtype, SizeType, PointerType, DifferenceType >, nc::NdArrayConstColumnIterator< dtype, SizeType, PointerType, DifferenceType >, nc::NdArrayConstIterator< dtype, PointerType, DifferenceType >, nc::NdArrayIterator< dtype, PointerType, DifferenceType >
                          • Vec2() : nc::Vec2
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                              NumCpp -  2.15.0 +  2.16.0
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                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/generator_8hpp_source.html b/docs/doxygen/html/generator_8hpp_source.html index d18875824..ac41ea929 100644 --- a/docs/doxygen/html/generator_8hpp_source.html +++ b/docs/doxygen/html/generator_8hpp_source.html @@ -50,7 +50,7 @@ Logo
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                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/greater_8hpp_source.html b/docs/doxygen/html/greater_8hpp_source.html index 67e0f66a8..2267b98d4 100644 --- a/docs/doxygen/html/greater_8hpp_source.html +++ b/docs/doxygen/html/greater_8hpp_source.html @@ -50,7 +50,7 @@ Logo
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                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/laguerre_8hpp.html b/docs/doxygen/html/laguerre_8hpp.html index b67e22c67..852633f19 100644 --- a/docs/doxygen/html/laguerre_8hpp.html +++ b/docs/doxygen/html/laguerre_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/laguerre_8hpp_source.html b/docs/doxygen/html/laguerre_8hpp_source.html index 1deea4924..7d5e84a61 100644 --- a/docs/doxygen/html/laguerre_8hpp_source.html +++ b/docs/doxygen/html/laguerre_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/lcm_8hpp.html b/docs/doxygen/html/lcm_8hpp.html index beb537538..6a7c5990a 100644 --- a/docs/doxygen/html/lcm_8hpp.html +++ b/docs/doxygen/html/lcm_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/lcm_8hpp_source.html b/docs/doxygen/html/lcm_8hpp_source.html index 108c50ada..22d828544 100644 --- a/docs/doxygen/html/lcm_8hpp_source.html +++ b/docs/doxygen/html/lcm_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/ldexp_8hpp.html b/docs/doxygen/html/ldexp_8hpp.html index 48d82946f..98c7b4f04 100644 --- a/docs/doxygen/html/ldexp_8hpp.html +++ b/docs/doxygen/html/ldexp_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/ldexp_8hpp_source.html b/docs/doxygen/html/ldexp_8hpp_source.html index 1917caa04..dc16ee7a5 100644 --- a/docs/doxygen/html/ldexp_8hpp_source.html +++ b/docs/doxygen/html/ldexp_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/left__shift_8hpp.html b/docs/doxygen/html/left__shift_8hpp.html index cae768e23..464fce3fe 100644 --- a/docs/doxygen/html/left__shift_8hpp.html +++ b/docs/doxygen/html/left__shift_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/left__shift_8hpp_source.html b/docs/doxygen/html/left__shift_8hpp_source.html index 65b25a8ae..e8ae61ab7 100644 --- a/docs/doxygen/html/left__shift_8hpp_source.html +++ b/docs/doxygen/html/left__shift_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/legendre__p_8hpp.html b/docs/doxygen/html/legendre__p_8hpp.html index 8b39be686..40684f20f 100644 --- a/docs/doxygen/html/legendre__p_8hpp.html +++ b/docs/doxygen/html/legendre__p_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/legendre__p_8hpp_source.html b/docs/doxygen/html/legendre__p_8hpp_source.html index f7d100c65..fccab6802 100644 --- a/docs/doxygen/html/legendre__p_8hpp_source.html +++ b/docs/doxygen/html/legendre__p_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/legendre__q_8hpp.html b/docs/doxygen/html/legendre__q_8hpp.html index 45f88fc76..44a0f62ef 100644 --- a/docs/doxygen/html/legendre__q_8hpp.html +++ b/docs/doxygen/html/legendre__q_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/legendre__q_8hpp_source.html b/docs/doxygen/html/legendre__q_8hpp_source.html index 206d35e05..91545d6fc 100644 --- a/docs/doxygen/html/legendre__q_8hpp_source.html +++ b/docs/doxygen/html/legendre__q_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/less_8hpp.html b/docs/doxygen/html/less_8hpp.html index f634de454..e1c3306e2 100644 --- a/docs/doxygen/html/less_8hpp.html +++ b/docs/doxygen/html/less_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/less_8hpp_source.html b/docs/doxygen/html/less_8hpp_source.html index 86829074b..c9b9d1f0f 100644 --- a/docs/doxygen/html/less_8hpp_source.html +++ b/docs/doxygen/html/less_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/less__equal_8hpp.html b/docs/doxygen/html/less__equal_8hpp.html index 14e7c1031..dd708eaef 100644 --- a/docs/doxygen/html/less__equal_8hpp.html +++ b/docs/doxygen/html/less__equal_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/less__equal_8hpp_source.html b/docs/doxygen/html/less__equal_8hpp_source.html index abd231724..2298b47c6 100644 --- a/docs/doxygen/html/less__equal_8hpp_source.html +++ b/docs/doxygen/html/less__equal_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/linspace_8hpp.html b/docs/doxygen/html/linspace_8hpp.html index 763e6da2a..a7e700a77 100644 --- a/docs/doxygen/html/linspace_8hpp.html +++ b/docs/doxygen/html/linspace_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/linspace_8hpp_source.html b/docs/doxygen/html/linspace_8hpp_source.html index cd5c9347e..614ebc333 100644 --- a/docs/doxygen/html/linspace_8hpp_source.html +++ b/docs/doxygen/html/linspace_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/load_8hpp.html b/docs/doxygen/html/load_8hpp.html index 69ac01a63..1451692d3 100644 --- a/docs/doxygen/html/load_8hpp.html +++ b/docs/doxygen/html/load_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/load_8hpp_source.html b/docs/doxygen/html/load_8hpp_source.html index c51d0d5d7..ed69a932c 100644 --- a/docs/doxygen/html/load_8hpp_source.html +++ b/docs/doxygen/html/load_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log10_8hpp.html b/docs/doxygen/html/log10_8hpp.html index 093e4c0b4..3e97a2e3a 100644 --- a/docs/doxygen/html/log10_8hpp.html +++ b/docs/doxygen/html/log10_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log10_8hpp_source.html b/docs/doxygen/html/log10_8hpp_source.html index c240f8770..c554cfe80 100644 --- a/docs/doxygen/html/log10_8hpp_source.html +++ b/docs/doxygen/html/log10_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log1p_8hpp.html b/docs/doxygen/html/log1p_8hpp.html index c59e6cc7d..15e5d4fe7 100644 --- a/docs/doxygen/html/log1p_8hpp.html +++ b/docs/doxygen/html/log1p_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log1p_8hpp_source.html b/docs/doxygen/html/log1p_8hpp_source.html index 542396229..a2d5a1e0b 100644 --- a/docs/doxygen/html/log1p_8hpp_source.html +++ b/docs/doxygen/html/log1p_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log2_8hpp.html b/docs/doxygen/html/log2_8hpp.html index 35bc56a36..3a0a0ca4b 100644 --- a/docs/doxygen/html/log2_8hpp.html +++ b/docs/doxygen/html/log2_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log2_8hpp_source.html b/docs/doxygen/html/log2_8hpp_source.html index eeb4f1eff..2b316e4ed 100644 --- a/docs/doxygen/html/log2_8hpp_source.html +++ b/docs/doxygen/html/log2_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log_8hpp.html b/docs/doxygen/html/log_8hpp.html index f4b9a67f7..6aabfb5d7 100644 --- a/docs/doxygen/html/log_8hpp.html +++ b/docs/doxygen/html/log_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log_8hpp_source.html b/docs/doxygen/html/log_8hpp_source.html index a2d5bb195..62cb232e1 100644 --- a/docs/doxygen/html/log_8hpp_source.html +++ b/docs/doxygen/html/log_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log__gamma_8hpp.html b/docs/doxygen/html/log__gamma_8hpp.html index a5b70aa1d..cef791106 100644 --- a/docs/doxygen/html/log__gamma_8hpp.html +++ b/docs/doxygen/html/log__gamma_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/log__gamma_8hpp_source.html b/docs/doxygen/html/log__gamma_8hpp_source.html index ec8aa327b..0f09745f0 100644 --- a/docs/doxygen/html/log__gamma_8hpp_source.html +++ b/docs/doxygen/html/log__gamma_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logaddexp2_8hpp.html b/docs/doxygen/html/logaddexp2_8hpp.html index f69824d9a..01f181324 100644 --- a/docs/doxygen/html/logaddexp2_8hpp.html +++ b/docs/doxygen/html/logaddexp2_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logaddexp2_8hpp_source.html b/docs/doxygen/html/logaddexp2_8hpp_source.html index 6b27b03e6..0841f58d5 100644 --- a/docs/doxygen/html/logaddexp2_8hpp_source.html +++ b/docs/doxygen/html/logaddexp2_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logaddexp_8hpp.html b/docs/doxygen/html/logaddexp_8hpp.html index 00d139584..16572d591 100644 --- a/docs/doxygen/html/logaddexp_8hpp.html +++ b/docs/doxygen/html/logaddexp_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logaddexp_8hpp_source.html b/docs/doxygen/html/logaddexp_8hpp_source.html index 76bbdd8e8..2880de3f8 100644 --- a/docs/doxygen/html/logaddexp_8hpp_source.html +++ b/docs/doxygen/html/logaddexp_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logb_8hpp.html b/docs/doxygen/html/logb_8hpp.html index 9c01bddcd..41dcfdc3f 100644 --- a/docs/doxygen/html/logb_8hpp.html +++ b/docs/doxygen/html/logb_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logb_8hpp_source.html b/docs/doxygen/html/logb_8hpp_source.html index 33191fa44..cecb4eef6 100644 --- a/docs/doxygen/html/logb_8hpp_source.html +++ b/docs/doxygen/html/logb_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logical__and_8hpp.html b/docs/doxygen/html/logical__and_8hpp.html index 06ea0d28c..533477b55 100644 --- a/docs/doxygen/html/logical__and_8hpp.html +++ b/docs/doxygen/html/logical__and_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logical__and_8hpp_source.html b/docs/doxygen/html/logical__and_8hpp_source.html index 63c9083db..ed8f7ab47 100644 --- a/docs/doxygen/html/logical__and_8hpp_source.html +++ b/docs/doxygen/html/logical__and_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logical__not_8hpp.html b/docs/doxygen/html/logical__not_8hpp.html index d48061bc1..31766abb4 100644 --- a/docs/doxygen/html/logical__not_8hpp.html +++ b/docs/doxygen/html/logical__not_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logical__not_8hpp_source.html b/docs/doxygen/html/logical__not_8hpp_source.html index 4953dc627..6dadbf1d5 100644 --- a/docs/doxygen/html/logical__not_8hpp_source.html +++ b/docs/doxygen/html/logical__not_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logical__or_8hpp.html b/docs/doxygen/html/logical__or_8hpp.html index ac12d40d6..c53d3a961 100644 --- a/docs/doxygen/html/logical__or_8hpp.html +++ b/docs/doxygen/html/logical__or_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logical__or_8hpp_source.html b/docs/doxygen/html/logical__or_8hpp_source.html index 1d816453d..4f5db7a52 100644 --- a/docs/doxygen/html/logical__or_8hpp_source.html +++ b/docs/doxygen/html/logical__or_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logical__xor_8hpp.html b/docs/doxygen/html/logical__xor_8hpp.html index 8e23bdcd9..77142dbbd 100644 --- a/docs/doxygen/html/logical__xor_8hpp.html +++ b/docs/doxygen/html/logical__xor_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logical__xor_8hpp_source.html b/docs/doxygen/html/logical__xor_8hpp_source.html index 507131a6f..fc1d91229 100644 --- a/docs/doxygen/html/logical__xor_8hpp_source.html +++ b/docs/doxygen/html/logical__xor_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/lognormal_8hpp.html b/docs/doxygen/html/lognormal_8hpp.html index ad2cb3970..bf4e08f55 100644 --- a/docs/doxygen/html/lognormal_8hpp.html +++ b/docs/doxygen/html/lognormal_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/lognormal_8hpp_source.html b/docs/doxygen/html/lognormal_8hpp_source.html index c4a0265bb..9413b5b59 100644 --- a/docs/doxygen/html/lognormal_8hpp_source.html +++ b/docs/doxygen/html/lognormal_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logspace_8hpp.html b/docs/doxygen/html/logspace_8hpp.html index 8ad9160ab..7c62bd1fc 100644 --- a/docs/doxygen/html/logspace_8hpp.html +++ b/docs/doxygen/html/logspace_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/logspace_8hpp_source.html b/docs/doxygen/html/logspace_8hpp_source.html index dd0218492..94bca5282 100644 --- a/docs/doxygen/html/logspace_8hpp_source.html +++ b/docs/doxygen/html/logspace_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/lstsq_8hpp.html b/docs/doxygen/html/lstsq_8hpp.html index f7f15f4c9..711567acb 100644 --- a/docs/doxygen/html/lstsq_8hpp.html +++ b/docs/doxygen/html/lstsq_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -121,7 +121,7 @@
                              #include "NumCpp/Core/Internal/StaticAsserts.hpp"
                              -#include "NumCpp/Linalg/svd/SVDClass.hpp"
                              +#include "NumCpp/Linalg/svd/SVD.hpp"
                              #include "NumCpp/NdArray.hpp"

                              Go to the source code of this file.

                              @@ -135,9 +135,9 @@ - - - + + +

                              Functions

                              template<typename dtype >
                              NdArray< double > nc::linalg::lstsq (const NdArray< dtype > &inA, const NdArray< dtype > &inB, double inTolerance=1e-12)
                               
                              template<typename dtype >
                              NdArray< double > nc::linalg::lstsq (const NdArray< dtype > &inA, const NdArray< dtype > &inB)
                               

                              Detailed Description

                              Author
                              David Pilger dpilg.nosp@m.er26.nosp@m.@gmai.nosp@m.l.co.nosp@m.m GitHub Repository
                              diff --git a/docs/doxygen/html/lstsq_8hpp.js b/docs/doxygen/html/lstsq_8hpp.js index fb0738ebf..12d133ba1 100644 --- a/docs/doxygen/html/lstsq_8hpp.js +++ b/docs/doxygen/html/lstsq_8hpp.js @@ -1,4 +1,4 @@ var lstsq_8hpp = [ - [ "lstsq", "lstsq_8hpp.html#a8baf25f50874e4bd27d2644a2730fb03", null ] + [ "lstsq", "lstsq_8hpp.html#af96af1e6e215b975a74f12949b5f0b46", null ] ]; \ No newline at end of file diff --git a/docs/doxygen/html/lstsq_8hpp_source.html b/docs/doxygen/html/lstsq_8hpp_source.html index 9959828b6..e3a2aa244 100644 --- a/docs/doxygen/html/lstsq_8hpp_source.html +++ b/docs/doxygen/html/lstsq_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -126,66 +126,66 @@
                              28#pragma once
                              29
                              30#include "NumCpp/Core/Internal/StaticAsserts.hpp"
                              -
                              31#include "NumCpp/Linalg/svd/SVDClass.hpp"
                              +
                              31#include "NumCpp/Linalg/svd/SVD.hpp"
                              32#include "NumCpp/NdArray.hpp"
                              33
                              34namespace nc::linalg
                              35{
                              36 //============================================================================
                              37 // Method Description:
                              -
                              57 template<typename dtype>
                              -
                              -
                              58 NdArray<double> lstsq(const NdArray<dtype>& inA, const NdArray<dtype>& inB, double inTolerance = 1e-12)
                              -
                              59 {
                              -
                              60 STATIC_ASSERT_ARITHMETIC(dtype);
                              -
                              61
                              -
                              62 const auto& aShape = inA.shape();
                              -
                              63 const auto& bShape = inB.shape();
                              -
                              64
                              -
                              65 const auto bIsFlat = inB.isflat();
                              -
                              66 if (bIsFlat && bShape.size() != aShape.rows)
                              -
                              67 {
                              -
                              68 THROW_INVALID_ARGUMENT_ERROR("Invalid matrix dimensions");
                              -
                              69 }
                              -
                              70 else if (!bIsFlat && inA.shape().rows != bShape.rows)
                              -
                              71 {
                              -
                              72 THROW_INVALID_ARGUMENT_ERROR("Invalid matrix dimensions");
                              -
                              73 }
                              -
                              74
                              -
                              75 SVD svdSolver(inA.template astype<double>());
                              -
                              76 const double threshold = inTolerance * svdSolver.s().front();
                              -
                              77
                              -
                              78 if (bIsFlat)
                              -
                              79 {
                              -
                              80 return svdSolver.solve(inB.template astype<double>(), threshold);
                              -
                              81 }
                              -
                              82
                              -
                              83 const auto bCast = inB.template astype<double>();
                              -
                              84 const auto bRowSlice = bCast.rSlice();
                              -
                              85
                              -
                              86 auto result = NdArray<double>(aShape.cols, bShape.cols);
                              -
                              87 const auto resultRowSlice = result.rSlice();
                              -
                              88
                              -
                              89 for (uint32 col = 0; col < bShape.cols; ++col)
                              -
                              90 {
                              -
                              91 result.put(resultRowSlice, col, svdSolver.solve(bCast(bRowSlice, col), threshold));
                              -
                              92 }
                              -
                              93
                              -
                              94 return result;
                              -
                              95 }
                              +
                              56 template<typename dtype>
                              +
                              +
                              57 NdArray<double> lstsq(const NdArray<dtype>& inA, const NdArray<dtype>& inB)
                              +
                              58 {
                              +
                              59 STATIC_ASSERT_ARITHMETIC(dtype);
                              +
                              60
                              +
                              61 const auto& aShape = inA.shape();
                              +
                              62 const auto& bShape = inB.shape();
                              +
                              63
                              +
                              64 const auto bIsFlat = inB.isflat();
                              +
                              65 if (bIsFlat && bShape.size() != aShape.rows)
                              +
                              66 {
                              +
                              67 THROW_INVALID_ARGUMENT_ERROR("Invalid matrix dimensions");
                              +
                              68 }
                              +
                              69 else if (!bIsFlat && inA.shape().rows != bShape.rows)
                              +
                              70 {
                              +
                              71 THROW_INVALID_ARGUMENT_ERROR("Invalid matrix dimensions");
                              +
                              72 }
                              +
                              73
                              +
                              74 SVD svd(inA.template astype<double>());
                              +
                              75
                              +
                              76 if (bIsFlat)
                              +
                              77 {
                              +
                              78 return svd.lstsq(inB.template astype<double>());
                              +
                              79 }
                              +
                              80
                              +
                              81 const auto bCast = inB.template astype<double>();
                              +
                              82 const auto bRowSlice = bCast.rSlice();
                              +
                              83
                              +
                              84 auto result = NdArray<double>(aShape.cols, bShape.cols);
                              +
                              85 const auto resultRowSlice = result.rSlice();
                              +
                              86
                              +
                              87 for (uint32 col = 0; col < bShape.cols; ++col)
                              +
                              88 {
                              +
                              89 result.put(resultRowSlice, col, svd.lstsq(bCast(bRowSlice, col)));
                              +
                              90 }
                              +
                              91
                              +
                              92 return result;
                              +
                              93 }
                              -
                              96} // namespace nc::linalg
                              +
                              94} // namespace nc::linalg
                              THROW_INVALID_ARGUMENT_ERROR
                              #define THROW_INVALID_ARGUMENT_ERROR(msg)
                              Definition Error.hpp:37
                              -
                              STATIC_ASSERT_ARITHMETIC
                              #define STATIC_ASSERT_ARITHMETIC(dtype)
                              Definition StaticAsserts.hpp:39
                              nc::NdArray
                              Holds 1D and 2D arrays, the main work horse of the NumCpp library.
                              Definition NdArrayCore.hpp:139
                              -
                              nc::linalg::SVD
                              Definition SVDClass.hpp:47
                              +
                              nc::linalg::SVD
                              Performs the singular value decomposition of a general matrix.
                              Definition svd/svd.hpp:50
                              nc::linalg
                              Definition cholesky.hpp:41
                              -
                              nc::linalg::lstsq
                              NdArray< double > lstsq(const NdArray< dtype > &inA, const NdArray< dtype > &inB, double inTolerance=1e-12)
                              Definition lstsq.hpp:58
                              +
                              nc::linalg::svd
                              void svd(const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVT)
                              Definition svd.hpp:51
                              +
                              nc::linalg::lstsq
                              NdArray< double > lstsq(const NdArray< dtype > &inA, const NdArray< dtype > &inB)
                              Definition lstsq.hpp:57
                              nc::arange
                              NdArray< dtype > arange(dtype inStart, dtype inStop, dtype inStep=1)
                              Definition arange.hpp:59
                              nc::uint32
                              std::uint32_t uint32
                              Definition Types.hpp:40
                              +
                              diff --git a/docs/doxygen/html/lu__decomposition_8hpp.html b/docs/doxygen/html/lu__decomposition_8hpp.html index db93e483e..edc885263 100644 --- a/docs/doxygen/html/lu__decomposition_8hpp.html +++ b/docs/doxygen/html/lu__decomposition_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/lu__decomposition_8hpp_source.html b/docs/doxygen/html/lu__decomposition_8hpp_source.html index e0bee8a62..2c3100021 100644 --- a/docs/doxygen/html/lu__decomposition_8hpp_source.html +++ b/docs/doxygen/html/lu__decomposition_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/matmul_8hpp.html b/docs/doxygen/html/matmul_8hpp.html index 1c71f377d..e68b7af3e 100644 --- a/docs/doxygen/html/matmul_8hpp.html +++ b/docs/doxygen/html/matmul_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/matmul_8hpp_source.html b/docs/doxygen/html/matmul_8hpp_source.html index ad27f6bea..10ee91cca 100644 --- a/docs/doxygen/html/matmul_8hpp_source.html +++ b/docs/doxygen/html/matmul_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/matrix__power_8hpp.html b/docs/doxygen/html/matrix__power_8hpp.html index e0863337f..e32311504 100644 --- a/docs/doxygen/html/matrix__power_8hpp.html +++ b/docs/doxygen/html/matrix__power_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/matrix__power_8hpp_source.html b/docs/doxygen/html/matrix__power_8hpp_source.html index f6bcb23ac..62b0de04b 100644 --- a/docs/doxygen/html/matrix__power_8hpp_source.html +++ b/docs/doxygen/html/matrix__power_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/max_8hpp.html b/docs/doxygen/html/max_8hpp.html index ea3bf9897..17e1822cf 100644 --- a/docs/doxygen/html/max_8hpp.html +++ b/docs/doxygen/html/max_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/max_8hpp_source.html b/docs/doxygen/html/max_8hpp_source.html index a6bfe9e3b..3b4b37873 100644 --- a/docs/doxygen/html/max_8hpp_source.html +++ b/docs/doxygen/html/max_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/maximum_8hpp.html b/docs/doxygen/html/maximum_8hpp.html index 124abe966..0aa559efa 100644 --- a/docs/doxygen/html/maximum_8hpp.html +++ b/docs/doxygen/html/maximum_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/maximum_8hpp_source.html b/docs/doxygen/html/maximum_8hpp_source.html index bcdf4396b..52d75d987 100644 --- a/docs/doxygen/html/maximum_8hpp_source.html +++ b/docs/doxygen/html/maximum_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/maximum_filter1d_8hpp.html b/docs/doxygen/html/maximum_filter1d_8hpp.html index 50c5087b6..1acf3c714 100644 --- a/docs/doxygen/html/maximum_filter1d_8hpp.html +++ b/docs/doxygen/html/maximum_filter1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/maximum_filter1d_8hpp_source.html b/docs/doxygen/html/maximum_filter1d_8hpp_source.html index c37b2daab..1ed8da575 100644 --- a/docs/doxygen/html/maximum_filter1d_8hpp_source.html +++ b/docs/doxygen/html/maximum_filter1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/maximum_filter_8hpp.html b/docs/doxygen/html/maximum_filter_8hpp.html index 9386c2c66..ca567a379 100644 --- a/docs/doxygen/html/maximum_filter_8hpp.html +++ b/docs/doxygen/html/maximum_filter_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/maximum_filter_8hpp_source.html b/docs/doxygen/html/maximum_filter_8hpp_source.html index ff308c9ab..a962386f5 100644 --- a/docs/doxygen/html/maximum_filter_8hpp_source.html +++ b/docs/doxygen/html/maximum_filter_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_building.html b/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_building.html index ef17aa0d2..3447d0a92 100644 --- a/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_building.html +++ b/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_building.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -141,7 +141,7 @@

                              1. Source File

                              add_executable(${PROJECT_NAME} main.cpp)
                              -
                              find_package(NumCpp 2.15.0 REQUIRED)
                              +
                              find_package(NumCpp 2.16.0 REQUIRED)
                              target_link_libraries(${PROJECT_NAME}
                              NumCpp::NumCpp
                              )
                              @@ -155,7 +155,7 @@

                              1. Source File

                              include(FetchContent)
                              FetchContent_Declare(NumCpp
                              GIT_REPOSITORY https://github.com/dpilger26/NumCpp
                              -
                              GIT_TAG Version_2.15.0)
                              +
                              GIT_TAG Version_2.16.0)
                              FetchContent_MakeAvailable(NumCpp)
                              target_link_libraries(${PROJECT_NAME}
                              diff --git a/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_compiler_flags.html b/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_compiler_flags.html index 531f87ac5..b19abcebe 100644 --- a/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_compiler_flags.html +++ b/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_compiler_flags.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_installation.html b/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_installation.html index ff1289a35..013d076f1 100644 --- a/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_installation.html +++ b/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_installation.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_release_notes.html b/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_release_notes.html index bca000cc2..e152b5cc8 100644 --- a/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_release_notes.html +++ b/docs/doxygen/html/md__2home_2dpilger_2_github_2_num_cpp_2docs_2markdown_2_release_notes.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -117,7 +117,21 @@
                              Release Notes
                              -

                              Version 2.15.0

                              +

                              Version 2.16.0

                              + +

                              Version 2.15.0

                              • added fft module for Issue #137
                                • fft::fft https://numpy.org/doc/stable/reference/generated/numpy.fft.fft.html#numpy.fft.fft
                                  • diff --git a/docs/doxygen/html/mean_8hpp.html b/docs/doxygen/html/mean_8hpp.html index 431471c98..0244ccb90 100644 --- a/docs/doxygen/html/mean_8hpp.html +++ b/docs/doxygen/html/mean_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mean_8hpp_source.html b/docs/doxygen/html/mean_8hpp_source.html index ff487bf89..2a7c1c289 100644 --- a/docs/doxygen/html/mean_8hpp_source.html +++ b/docs/doxygen/html/mean_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mean_filter1d_8hpp.html b/docs/doxygen/html/mean_filter1d_8hpp.html index cc2c51d95..80bbbbd8a 100644 --- a/docs/doxygen/html/mean_filter1d_8hpp.html +++ b/docs/doxygen/html/mean_filter1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mean_filter1d_8hpp_source.html b/docs/doxygen/html/mean_filter1d_8hpp_source.html index cfad52c61..ffc570569 100644 --- a/docs/doxygen/html/mean_filter1d_8hpp_source.html +++ b/docs/doxygen/html/mean_filter1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mean_filter_8hpp.html b/docs/doxygen/html/mean_filter_8hpp.html index 7f8d989f2..2e9a8b4b2 100644 --- a/docs/doxygen/html/mean_filter_8hpp.html +++ b/docs/doxygen/html/mean_filter_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mean_filter_8hpp_source.html b/docs/doxygen/html/mean_filter_8hpp_source.html index ad8980f47..9e23130d8 100644 --- a/docs/doxygen/html/mean_filter_8hpp_source.html +++ b/docs/doxygen/html/mean_filter_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/median_8hpp.html b/docs/doxygen/html/median_8hpp.html index cd93b70da..156163a24 100644 --- a/docs/doxygen/html/median_8hpp.html +++ b/docs/doxygen/html/median_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/median_8hpp_source.html b/docs/doxygen/html/median_8hpp_source.html index c31e4fab6..45b20326b 100644 --- a/docs/doxygen/html/median_8hpp_source.html +++ b/docs/doxygen/html/median_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/median_filter1d_8hpp.html b/docs/doxygen/html/median_filter1d_8hpp.html index f1620a2bb..084087758 100644 --- a/docs/doxygen/html/median_filter1d_8hpp.html +++ b/docs/doxygen/html/median_filter1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/median_filter1d_8hpp_source.html b/docs/doxygen/html/median_filter1d_8hpp_source.html index 7c8b58772..7083daed0 100644 --- a/docs/doxygen/html/median_filter1d_8hpp_source.html +++ b/docs/doxygen/html/median_filter1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/median_filter_8hpp.html b/docs/doxygen/html/median_filter_8hpp.html index 764e24eb4..5cd298fc1 100644 --- a/docs/doxygen/html/median_filter_8hpp.html +++ b/docs/doxygen/html/median_filter_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/median_filter_8hpp_source.html b/docs/doxygen/html/median_filter_8hpp_source.html index 20885de72..1e426420f 100644 --- a/docs/doxygen/html/median_filter_8hpp_source.html +++ b/docs/doxygen/html/median_filter_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/meshgrid_8hpp.html b/docs/doxygen/html/meshgrid_8hpp.html index aec775e0f..979e9eefd 100644 --- a/docs/doxygen/html/meshgrid_8hpp.html +++ b/docs/doxygen/html/meshgrid_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/meshgrid_8hpp_source.html b/docs/doxygen/html/meshgrid_8hpp_source.html index 6b6e80626..1b3ebc5a4 100644 --- a/docs/doxygen/html/meshgrid_8hpp_source.html +++ b/docs/doxygen/html/meshgrid_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/min_8hpp.html b/docs/doxygen/html/min_8hpp.html index 8223c62f4..09ac4cfed 100644 --- a/docs/doxygen/html/min_8hpp.html +++ b/docs/doxygen/html/min_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/min_8hpp_source.html b/docs/doxygen/html/min_8hpp_source.html index a24fc41b0..593138033 100644 --- a/docs/doxygen/html/min_8hpp_source.html +++ b/docs/doxygen/html/min_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/minimum_8hpp.html b/docs/doxygen/html/minimum_8hpp.html index e2d57ad6c..182bb9064 100644 --- a/docs/doxygen/html/minimum_8hpp.html +++ b/docs/doxygen/html/minimum_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/minimum_8hpp_source.html b/docs/doxygen/html/minimum_8hpp_source.html index 24f283dce..01533f98c 100644 --- a/docs/doxygen/html/minimum_8hpp_source.html +++ b/docs/doxygen/html/minimum_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/minimum_filter1d_8hpp.html b/docs/doxygen/html/minimum_filter1d_8hpp.html index d86a39ed3..b7112aeff 100644 --- a/docs/doxygen/html/minimum_filter1d_8hpp.html +++ b/docs/doxygen/html/minimum_filter1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/minimum_filter1d_8hpp_source.html b/docs/doxygen/html/minimum_filter1d_8hpp_source.html index 67a383126..6e1d9d6f4 100644 --- a/docs/doxygen/html/minimum_filter1d_8hpp_source.html +++ b/docs/doxygen/html/minimum_filter1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/minimum_filter_8hpp.html b/docs/doxygen/html/minimum_filter_8hpp.html index dff0b5d78..87c8f39be 100644 --- a/docs/doxygen/html/minimum_filter_8hpp.html +++ b/docs/doxygen/html/minimum_filter_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/minimum_filter_8hpp_source.html b/docs/doxygen/html/minimum_filter_8hpp_source.html index 8e5b69db9..0d027b9d8 100644 --- a/docs/doxygen/html/minimum_filter_8hpp_source.html +++ b/docs/doxygen/html/minimum_filter_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mirror1d_8hpp.html b/docs/doxygen/html/mirror1d_8hpp.html index e845fdf4a..088c4edd5 100644 --- a/docs/doxygen/html/mirror1d_8hpp.html +++ b/docs/doxygen/html/mirror1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mirror1d_8hpp_source.html b/docs/doxygen/html/mirror1d_8hpp_source.html index 1a6ead19e..929d7b1df 100644 --- a/docs/doxygen/html/mirror1d_8hpp_source.html +++ b/docs/doxygen/html/mirror1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mirror2d_8hpp.html b/docs/doxygen/html/mirror2d_8hpp.html index bf7a86270..94078ec31 100644 --- a/docs/doxygen/html/mirror2d_8hpp.html +++ b/docs/doxygen/html/mirror2d_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mirror2d_8hpp_source.html b/docs/doxygen/html/mirror2d_8hpp_source.html index cba6635e9..8cc01914d 100644 --- a/docs/doxygen/html/mirror2d_8hpp_source.html +++ b/docs/doxygen/html/mirror2d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mod_8hpp.html b/docs/doxygen/html/mod_8hpp.html index 0b557dee5..2912af04e 100644 --- a/docs/doxygen/html/mod_8hpp.html +++ b/docs/doxygen/html/mod_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mod_8hpp_source.html b/docs/doxygen/html/mod_8hpp_source.html index 6f1f9b075..21929dbc8 100644 --- a/docs/doxygen/html/mod_8hpp_source.html +++ b/docs/doxygen/html/mod_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mode_8hpp.html b/docs/doxygen/html/mode_8hpp.html index a7a97d567..b13786c55 100644 --- a/docs/doxygen/html/mode_8hpp.html +++ b/docs/doxygen/html/mode_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/mode_8hpp_source.html b/docs/doxygen/html/mode_8hpp_source.html index 8014e526d..c1dd161b3 100644 --- a/docs/doxygen/html/mode_8hpp_source.html +++ b/docs/doxygen/html/mode_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/multi__dot_8hpp.html b/docs/doxygen/html/multi__dot_8hpp.html index eedb353ce..66452cf13 100644 --- a/docs/doxygen/html/multi__dot_8hpp.html +++ b/docs/doxygen/html/multi__dot_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/multi__dot_8hpp_source.html b/docs/doxygen/html/multi__dot_8hpp_source.html index d03de3563..c73fe08d6 100644 --- a/docs/doxygen/html/multi__dot_8hpp_source.html +++ b/docs/doxygen/html/multi__dot_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/multiply_8hpp.html b/docs/doxygen/html/multiply_8hpp.html index 5119662f3..7c8ab3bf1 100644 --- a/docs/doxygen/html/multiply_8hpp.html +++ b/docs/doxygen/html/multiply_8hpp.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/multiply_8hpp_source.html b/docs/doxygen/html/multiply_8hpp_source.html index 2f221d3a0..fe3c2d50e 100644 --- a/docs/doxygen/html/multiply_8hpp_source.html +++ b/docs/doxygen/html/multiply_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/namespacemembers.html b/docs/doxygen/html/namespacemembers.html index 8d76935db..a8f08e411 100644 --- a/docs/doxygen/html/namespacemembers.html +++ b/docs/doxygen/html/namespacemembers.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/namespacemembers_b.html b/docs/doxygen/html/namespacemembers_b.html index ea969ed5d..5e9cdad38 100644 --- a/docs/doxygen/html/namespacemembers_b.html +++ b/docs/doxygen/html/namespacemembers_b.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/namespacemembers_c.html b/docs/doxygen/html/namespacemembers_c.html index 94ba86ae2..599e7ccd7 100644 --- a/docs/doxygen/html/namespacemembers_c.html +++ b/docs/doxygen/html/namespacemembers_c.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/namespacemembers_d.html b/docs/doxygen/html/namespacemembers_d.html index 5893693ca..3f00268e6 100644 --- a/docs/doxygen/html/namespacemembers_d.html +++ b/docs/doxygen/html/namespacemembers_d.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  diff --git a/docs/doxygen/html/namespacemembers_e.html b/docs/doxygen/html/namespacemembers_e.html index 70dbd60d5..1cd9b48d1 100644 --- a/docs/doxygen/html/namespacemembers_e.html +++ b/docs/doxygen/html/namespacemembers_e.html @@ -50,7 +50,7 @@ Logo
                                  NumCpp -  2.15.0 +  2.16.0
                                  A Templatized Header Only C++ Implementation of the Python NumPy Library
                                  @@ -126,6 +126,8 @@

                                  - e -

                                  • ECEFtoENU() : nc::coordinates::transforms
                                  • ECEFtoLLA() : nc::coordinates::transforms
                                  • ECEFtoNED() : nc::coordinates::transforms
                                    • +
                                  • eig() : nc::linalg
                                    • +
                                  • eigvals() : nc::linalg
                                  • ellint_1() : nc::special
                                  • ellint_2() : nc::special
                                  • ellint_3() : nc::special
                                    • @@ -141,7 +143,7 @@

                                    - e -

                                    • ENUtoLLA() : nc::coordinates::transforms
                                    • ENUtoNED() : nc::coordinates::transforms
                                    • ENUUnitVecsInECEF() : nc::coordinates::transforms
                                      • -
                                    • equal() : nc, nc::stl_algorithms
                                      • +
                                    • equal() : nc, nc::stl_algorithms
                                    • erf() : nc::special
                                    • erf_inv() : nc::special
                                    • erfc() : nc::special
                                      • diff --git a/docs/doxygen/html/namespacemembers_enum.html b/docs/doxygen/html/namespacemembers_enum.html index ca0993ed4..484f9fad8 100644 --- a/docs/doxygen/html/namespacemembers_enum.html +++ b/docs/doxygen/html/namespacemembers_enum.html @@ -50,7 +50,7 @@ Logo
                                      NumCpp -  2.15.0 +  2.16.0
                                      A Templatized Header Only C++ Implementation of the Python NumPy Library
                                      diff --git a/docs/doxygen/html/namespacemembers_f.html b/docs/doxygen/html/namespacemembers_f.html index 4199ecc5b..6271228c2 100644 --- a/docs/doxygen/html/namespacemembers_f.html +++ b/docs/doxygen/html/namespacemembers_f.html @@ -50,7 +50,7 @@ Logo
                                      NumCpp -  2.15.0 +  2.16.0
                                      A Templatized Header Only C++ Implementation of the Python NumPy Library
                                      diff --git a/docs/doxygen/html/namespacemembers_func.html b/docs/doxygen/html/namespacemembers_func.html index 0aac0bf07..4e4382b90 100644 --- a/docs/doxygen/html/namespacemembers_func.html +++ b/docs/doxygen/html/namespacemembers_func.html @@ -50,7 +50,7 @@ Logo
                                      NumCpp -  2.15.0 +  2.16.0
                                      A Templatized Header Only C++ Implementation of the Python NumPy Library
                                      diff --git a/docs/doxygen/html/namespacemembers_func_b.html b/docs/doxygen/html/namespacemembers_func_b.html index 0ccfb5fe9..39ca9dd3d 100644 --- a/docs/doxygen/html/namespacemembers_func_b.html +++ b/docs/doxygen/html/namespacemembers_func_b.html @@ -50,7 +50,7 @@ Logo
                                      NumCpp -  2.15.0 +  2.16.0
                                      A Templatized Header Only C++ Implementation of the Python NumPy Library
                                      diff --git a/docs/doxygen/html/namespacemembers_func_c.html b/docs/doxygen/html/namespacemembers_func_c.html index 9d2963fe1..f7b7b0a33 100644 --- a/docs/doxygen/html/namespacemembers_func_c.html +++ b/docs/doxygen/html/namespacemembers_func_c.html @@ -50,7 +50,7 @@ Logo
                                      NumCpp -  2.15.0 +  2.16.0
                                      A Templatized Header Only C++ Implementation of the Python NumPy Library
                                      diff --git a/docs/doxygen/html/namespacemembers_func_d.html b/docs/doxygen/html/namespacemembers_func_d.html index f21c19d7a..c6b9aaad4 100644 --- a/docs/doxygen/html/namespacemembers_func_d.html +++ b/docs/doxygen/html/namespacemembers_func_d.html @@ -50,7 +50,7 @@ Logo
                                      NumCpp -  2.15.0 +  2.16.0
                                      A Templatized Header Only C++ Implementation of the Python NumPy Library
                                      diff --git a/docs/doxygen/html/namespacemembers_func_e.html b/docs/doxygen/html/namespacemembers_func_e.html index 05f4767d9..5b2e3d372 100644 --- a/docs/doxygen/html/namespacemembers_func_e.html +++ b/docs/doxygen/html/namespacemembers_func_e.html @@ -50,7 +50,7 @@ Logo
                                      NumCpp -  2.15.0 +  2.16.0
                                      A Templatized Header Only C++ Implementation of the Python NumPy Library
                                      @@ -123,10 +123,12 @@

                                      - e -

                                      • ECEFtoENU() : nc::coordinates::transforms
                                      • ECEFtoLLA() : nc::coordinates::transforms
                                      • ECEFtoNED() : nc::coordinates::transforms
                                        • +
                                      • eig() : nc::linalg
                                        • +
                                      • eigvals() : nc::linalg
                                      • ellint_1() : nc::special
                                      • ellint_2() : nc::special
                                      • ellint_3() : nc::special
                                        • -
                                      • empty() : nc
                                        • +
                                      • empty() : nc
                                      • empty_like() : nc
                                      • encode() : nc::edac
                                      • endianess() : nc
                                        • @@ -137,7 +139,7 @@

                                        - e -

                                        • ENUtoNED() : nc::coordinates::transforms
                                        • ENUUnitVecsInECEF() : nc::coordinates::transforms
                                        • equal() : nc, nc::stl_algorithms
                                          • -
                                        • erf() : nc::special
                                          • +
                                        • erf() : nc::special
                                        • erf_inv() : nc::special
                                        • erfc() : nc::special
                                        • erfc_inv() : nc::special
                                          • diff --git a/docs/doxygen/html/namespacemembers_func_f.html b/docs/doxygen/html/namespacemembers_func_f.html index ba6d69ac1..6da91f4aa 100644 --- a/docs/doxygen/html/namespacemembers_func_f.html +++ b/docs/doxygen/html/namespacemembers_func_f.html @@ -50,7 +50,7 @@ Logo
                                          NumCpp -  2.15.0 +  2.16.0
                                          A Templatized Header Only C++ Implementation of the Python NumPy Library
                                          diff --git a/docs/doxygen/html/namespacemembers_func_g.html b/docs/doxygen/html/namespacemembers_func_g.html index e8de1c5ac..07a0b08c2 100644 --- a/docs/doxygen/html/namespacemembers_func_g.html +++ b/docs/doxygen/html/namespacemembers_func_g.html @@ -50,7 +50,7 @@ Logo
                                          NumCpp -  2.15.0 +  2.16.0
                                          A Templatized Header Only C++ Implementation of the Python NumPy Library
                                          diff --git a/docs/doxygen/html/namespacemembers_func_h.html b/docs/doxygen/html/namespacemembers_func_h.html index f05c23f07..cbb5c4299 100644 --- a/docs/doxygen/html/namespacemembers_func_h.html +++ b/docs/doxygen/html/namespacemembers_func_h.html @@ -50,7 +50,7 @@ Logo
                                          NumCpp -  2.15.0 +  2.16.0
                                          A Templatized Header Only C++ Implementation of the Python NumPy Library
                                          diff --git a/docs/doxygen/html/namespacemembers_func_i.html b/docs/doxygen/html/namespacemembers_func_i.html index 97861d6a5..4e49cf69a 100644 --- a/docs/doxygen/html/namespacemembers_func_i.html +++ b/docs/doxygen/html/namespacemembers_func_i.html @@ -50,7 +50,7 @@ Logo
                                          NumCpp -  2.15.0 +  2.16.0
                                          A Templatized Header Only C++ Implementation of the Python NumPy Library
                                          diff --git a/docs/doxygen/html/namespacemembers_func_k.html b/docs/doxygen/html/namespacemembers_func_k.html index b926e5d0c..a776035b9 100644 --- a/docs/doxygen/html/namespacemembers_func_k.html +++ b/docs/doxygen/html/namespacemembers_func_k.html @@ -50,7 +50,7 @@ Logo
                                          NumCpp -  2.15.0 +  2.16.0
                                          A Templatized Header Only C++ Implementation of the Python NumPy Library
                                          diff --git a/docs/doxygen/html/namespacemembers_func_l.html b/docs/doxygen/html/namespacemembers_func_l.html index 07724ac21..de8cbdc75 100644 --- a/docs/doxygen/html/namespacemembers_func_l.html +++ b/docs/doxygen/html/namespacemembers_func_l.html @@ -50,7 +50,7 @@ Logo
                                          NumCpp -  2.15.0 +  2.16.0
                                          A Templatized Header Only C++ Implementation of the Python NumPy Library
                                          @@ -147,7 +147,7 @@

                                          - l -

                              diff --git a/docs/doxygen/html/namespacemembers_func_m.html b/docs/doxygen/html/namespacemembers_func_m.html index ea13b6761..51b22e681 100644 --- a/docs/doxygen/html/namespacemembers_func_m.html +++ b/docs/doxygen/html/namespacemembers_func_m.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacemembers_func_n.html b/docs/doxygen/html/namespacemembers_func_n.html index 4726c54c7..7e73df8bf 100644 --- a/docs/doxygen/html/namespacemembers_func_n.html +++ b/docs/doxygen/html/namespacemembers_func_n.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacemembers_func_o.html b/docs/doxygen/html/namespacemembers_func_o.html index adbbe7573..0857abf39 100644 --- a/docs/doxygen/html/namespacemembers_func_o.html +++ b/docs/doxygen/html/namespacemembers_func_o.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacemembers_func_p.html b/docs/doxygen/html/namespacemembers_func_p.html index 2c61f5bca..c6a20ddf5 100644 --- a/docs/doxygen/html/namespacemembers_func_p.html +++ b/docs/doxygen/html/namespacemembers_func_p.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacemembers_func_r.html b/docs/doxygen/html/namespacemembers_func_r.html index 1b5abb9b7..696905967 100644 --- a/docs/doxygen/html/namespacemembers_func_r.html +++ b/docs/doxygen/html/namespacemembers_func_r.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacemembers_func_s.html b/docs/doxygen/html/namespacemembers_func_s.html index 9c5ec673a..c16320b7a 100644 --- a/docs/doxygen/html/namespacemembers_func_s.html +++ b/docs/doxygen/html/namespacemembers_func_s.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -155,7 +155,8 @@

                              - s -

                              • studentT() : nc::random::detail, nc::random
                              • subtract() : nc
                              • sum() : nc
                                • -
                              • svd() : nc::linalg
                                • +
                              • svd() : nc::linalg
                                • +
                              • svdvals() : nc::linalg
                              • swap() : nc
                              • swapaxes() : nc
                              • swapCols() : nc
                                • diff --git a/docs/doxygen/html/namespacemembers_func_t.html b/docs/doxygen/html/namespacemembers_func_t.html index 212fe785e..a3581df89 100644 --- a/docs/doxygen/html/namespacemembers_func_t.html +++ b/docs/doxygen/html/namespacemembers_func_t.html @@ -50,7 +50,7 @@ Logo
                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
                                diff --git a/docs/doxygen/html/namespacemembers_func_u.html b/docs/doxygen/html/namespacemembers_func_u.html index 86f066637..35473d4d0 100644 --- a/docs/doxygen/html/namespacemembers_func_u.html +++ b/docs/doxygen/html/namespacemembers_func_u.html @@ -50,7 +50,7 @@ Logo
                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
                                diff --git a/docs/doxygen/html/namespacemembers_func_v.html b/docs/doxygen/html/namespacemembers_func_v.html index e3e47c78c..c1d246a13 100644 --- a/docs/doxygen/html/namespacemembers_func_v.html +++ b/docs/doxygen/html/namespacemembers_func_v.html @@ -50,7 +50,7 @@ Logo
                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
                                diff --git a/docs/doxygen/html/namespacemembers_func_w.html b/docs/doxygen/html/namespacemembers_func_w.html index e3970571e..6550ab275 100644 --- a/docs/doxygen/html/namespacemembers_func_w.html +++ b/docs/doxygen/html/namespacemembers_func_w.html @@ -50,7 +50,7 @@ Logo
                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
                                diff --git a/docs/doxygen/html/namespacemembers_func_z.html b/docs/doxygen/html/namespacemembers_func_z.html index 54d5010e3..824d2d6ac 100644 --- a/docs/doxygen/html/namespacemembers_func_z.html +++ b/docs/doxygen/html/namespacemembers_func_z.html @@ -50,7 +50,7 @@ Logo
                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
                                diff --git a/docs/doxygen/html/namespacemembers_g.html b/docs/doxygen/html/namespacemembers_g.html index 487bdc75b..9f51feebd 100644 --- a/docs/doxygen/html/namespacemembers_g.html +++ b/docs/doxygen/html/namespacemembers_g.html @@ -50,7 +50,7 @@ Logo
                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
                                diff --git a/docs/doxygen/html/namespacemembers_h.html b/docs/doxygen/html/namespacemembers_h.html index b4afa750f..188bea269 100644 --- a/docs/doxygen/html/namespacemembers_h.html +++ b/docs/doxygen/html/namespacemembers_h.html @@ -50,7 +50,7 @@ Logo
                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
                                diff --git a/docs/doxygen/html/namespacemembers_i.html b/docs/doxygen/html/namespacemembers_i.html index d9f0e1116..c9876fe9a 100644 --- a/docs/doxygen/html/namespacemembers_i.html +++ b/docs/doxygen/html/namespacemembers_i.html @@ -50,7 +50,7 @@ Logo
                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
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                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
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                                NumCpp -  2.15.0 +  2.16.0
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                                NumCpp -  2.15.0 +  2.16.0
                                A Templatized Header Only C++ Implementation of the Python NumPy Library
                                @@ -147,7 +147,7 @@

                                - l -

                              diff --git a/docs/doxygen/html/namespacemembers_m.html b/docs/doxygen/html/namespacemembers_m.html index 6fe7e31ec..1c9b546b6 100644 --- a/docs/doxygen/html/namespacemembers_m.html +++ b/docs/doxygen/html/namespacemembers_m.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacemembers_p.html b/docs/doxygen/html/namespacemembers_p.html index 9b4dcb62f..7601c6efe 100644 --- a/docs/doxygen/html/namespacemembers_p.html +++ b/docs/doxygen/html/namespacemembers_p.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacemembers_r.html b/docs/doxygen/html/namespacemembers_r.html index 94c6a6364..002fc3929 100644 --- a/docs/doxygen/html/namespacemembers_r.html +++ b/docs/doxygen/html/namespacemembers_r.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacemembers_s.html b/docs/doxygen/html/namespacemembers_s.html index 6bd2294e6..0acc1f6c6 100644 --- a/docs/doxygen/html/namespacemembers_s.html +++ b/docs/doxygen/html/namespacemembers_s.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -163,7 +163,8 @@

                              - s -

                              + + +

                              ◆ eig()

                              + +
                              +
                              +
                              +template<typename dtype >
                              + + + + + + + + + + + + + + + + + + +
                              std::pair< NdArray< double >, NdArray< double > > nc::linalg::eig (const NdArray< dtype > & inA,
                              double inTolerance = 1e-12 
                              )
                              +
                              +

                              Compute the eigen values and eigen vectors of a real symmetric matrix.

                              +

                              NumPy Reference: https://numpy.org/doc/stable/reference/generated/numpy.linalg.eig.html#numpy.linalg.eig

                              +
                              Parameters
                              + + + +
                              inAMatrix for which the eigen values and eigen vectors will be computed, must be a real, symmetric MxM array
                              inTolerance(default 1e-12)
                              +
                              +
                              +
                              Returns
                              std::pair<NdArray<double>, NdArray<double>> eigen values and eigen vectors
                              + +
                              +
                              + +

                              ◆ eigvals()

                              + +
                              +
                              +
                              +template<typename dtype >
                              + + + + + + + + + + + + + + + + + + +
                              NdArray< double > nc::linalg::eigvals (const NdArray< dtype > & inA,
                              double inTolerance = 1e-12 
                              )
                              +
                              +

                              Compute the eigen values of a real symmetric matrix.

                              +

                              NumPy Reference: https://numpy.org/doc/stable/reference/generated/numpy.linalg.eigvals.html

                              +
                              Parameters
                              + + + +
                              inAMatrix for which the eigen values and will be computed, must be a real, symmetric MxM array
                              inTolerance(default 1e-12)
                              +
                              +
                              +
                              Returns
                              NdArray
                              +
                              @@ -460,8 +550,8 @@

                              -

                              ◆ lstsq()

                              + +

                              ◆ lstsq()

                              @@ -478,13 +568,7 @@

                              const NdArray< dtype > &  - inB, - - - - - double  - inTolerance = 1e-12  + inB  @@ -498,8 +582,7 @@

                              Parameters
                              - - +
                              inAcoefficient matrix
                              inBOrdinate or "dependent variable" values. If b is two-dimensional, the least-squares solution is calculated for each of the K columns of b.
                              inTolerance(default 1e-12)
                              inBOrdinate or "dependent variable" values. If b is two-dimensional, the least-squares solution is calculated for each of the K columns of b.
                              @@ -704,8 +787,8 @@

                              -

                              ◆ svd()

                              + +

                              ◆ svd()

                              @@ -734,7 +817,7 @@

                              NdArray< double > &  - outVt  + outVT  @@ -750,13 +833,42 @@

                              inArrayNdArray to be SVDed outUNdArray output U outSNdArray output S - outVtNdArray output V transpose + outVTNdArray output V transpose
                              Examples
                              ReadMe.cpp.
                              +

                              +
                              + +

                              ◆ svdvals()

                              + +
                              +
                              +
                              +template<typename dtype >
                              + + + + + + + + +
                              NdArray< double > nc::linalg::svdvals (const NdArray< dtype > & inArray)
                              +
                              +

                              Singular Value Decomposition.

                              +

                              NumPy Reference: https://numpy.org/doc/stable/reference/generated/numpy.linalg.svd.html

                              +
                              Parameters
                              + + +
                              inArrayNdArray to be SVDed
                              +
                              +
                              +
                              Returns
                              array of singular values
                              +

                              diff --git a/docs/doxygen/html/namespacenc_1_1linalg.js b/docs/doxygen/html/namespacenc_1_1linalg.js index 6c6f67256..df9c045f1 100644 --- a/docs/doxygen/html/namespacenc_1_1linalg.js +++ b/docs/doxygen/html/namespacenc_1_1linalg.js @@ -6,17 +6,20 @@ var namespacenc_1_1linalg = [ "SVD", "classnc_1_1linalg_1_1_s_v_d.html", "classnc_1_1linalg_1_1_s_v_d" ], [ "cholesky", "namespacenc_1_1linalg.html#ae97a3a4f8b9f2d4253060db5928da6d1", null ], [ "det", "namespacenc_1_1linalg.html#a560873e98ef9b3d8da501ad6feb121e9", null ], + [ "eig", "namespacenc_1_1linalg.html#a1b037ada059b1292a794e6ffb1823a05", null ], + [ "eigvals", "namespacenc_1_1linalg.html#a2853cd2015993be7a86f9ba823601ca6", null ], [ "gaussNewtonNlls", "namespacenc_1_1linalg.html#a9de81d7c677cb58615fba70679e73f66", null ], [ "hat", "namespacenc_1_1linalg.html#ad93ac021edcd0c8f81891c93996dee25", null ], [ "hat", "namespacenc_1_1linalg.html#af55949f0049c2a7b1a3e1f36a31a678f", null ], [ "hat", "namespacenc_1_1linalg.html#afa7cc2a8a4084e94b4af00484d3a511e", null ], [ "inv", "namespacenc_1_1linalg.html#a2eeb58d0a34e50e79fcfe59f71c61b4d", null ], - [ "lstsq", "namespacenc_1_1linalg.html#a8baf25f50874e4bd27d2644a2730fb03", null ], + [ "lstsq", "namespacenc_1_1linalg.html#af96af1e6e215b975a74f12949b5f0b46", null ], [ "lu_decomposition", "namespacenc_1_1linalg.html#a60e7cebe243cc88b69d508b569456300", null ], [ "matrix_power", "namespacenc_1_1linalg.html#a59c33bf492f64017c673a151f890dcbf", null ], [ "multi_dot", "namespacenc_1_1linalg.html#a46188c640b2c3ee74418db676e8f3bce", null ], [ "pinv", "namespacenc_1_1linalg.html#a1ab0529b2e6d2bd4668051b8b7dcb85b", null ], [ "pivotLU_decomposition", "namespacenc_1_1linalg.html#a7e29068f07fa422d6c9185a4d91bf6a2", null ], [ "solve", "namespacenc_1_1linalg.html#afc9432e7c93e830c4ff8cff7f0a15771", null ], - [ "svd", "namespacenc_1_1linalg.html#acb38ad2613d50422afc539d005159055", null ] + [ "svd", "namespacenc_1_1linalg.html#a305c49baed6667d8d64b9cd13f2c5060", null ], + [ "svdvals", "namespacenc_1_1linalg.html#a9c3f05864405242a8917530242cdda9c", null ] ]; \ No newline at end of file diff --git a/docs/doxygen/html/namespacenc_1_1linalg_1_1detail.html b/docs/doxygen/html/namespacenc_1_1linalg_1_1detail.html index bd4898d79..cb3ba659b 100644 --- a/docs/doxygen/html/namespacenc_1_1linalg_1_1detail.html +++ b/docs/doxygen/html/namespacenc_1_1linalg_1_1detail.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacenc_1_1logger.html b/docs/doxygen/html/namespacenc_1_1logger.html index 7a526e9d3..a99a4c632 100644 --- a/docs/doxygen/html/namespacenc_1_1logger.html +++ b/docs/doxygen/html/namespacenc_1_1logger.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespacenc_1_1rotations.html b/docs/doxygen/html/namespacenc_1_1rotations.html index c948d0216..8a496b07a 100644 --- a/docs/doxygen/html/namespacenc_1_1rotations.html +++ b/docs/doxygen/html/namespacenc_1_1rotations.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/namespaces.html b/docs/doxygen/html/namespaces.html index e073f08d4..31fead184 100644 --- a/docs/doxygen/html/namespaces.html +++ b/docs/doxygen/html/namespaces.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/nbytes_8hpp_source.html b/docs/doxygen/html/nbytes_8hpp_source.html index b61aacb70..d9484ea98 100644 --- a/docs/doxygen/html/nbytes_8hpp_source.html +++ b/docs/doxygen/html/nbytes_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/nearest2d_8hpp_source.html b/docs/doxygen/html/nearest2d_8hpp_source.html index 2e162ecdc..590dc804e 100644 --- a/docs/doxygen/html/nearest2d_8hpp_source.html +++ b/docs/doxygen/html/nearest2d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/negative_8hpp.html b/docs/doxygen/html/negative_8hpp.html index 2b54e7683..cb791fb9c 100644 --- a/docs/doxygen/html/negative_8hpp.html +++ b/docs/doxygen/html/negative_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/negative_8hpp_source.html b/docs/doxygen/html/negative_8hpp_source.html index f2e03b613..3f531094f 100644 --- a/docs/doxygen/html/negative_8hpp_source.html +++ b/docs/doxygen/html/negative_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/negative_binomial_8hpp.html b/docs/doxygen/html/negative_binomial_8hpp.html index 00e3d3714..22aa1019a 100644 --- a/docs/doxygen/html/negative_binomial_8hpp.html +++ b/docs/doxygen/html/negative_binomial_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/negative_binomial_8hpp_source.html b/docs/doxygen/html/negative_binomial_8hpp_source.html index bb9667fd0..9c05ac6d4 100644 --- a/docs/doxygen/html/negative_binomial_8hpp_source.html +++ b/docs/doxygen/html/negative_binomial_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/newbyteorder_8hpp.html b/docs/doxygen/html/newbyteorder_8hpp.html index 8e709794c..f3280cb6c 100644 --- a/docs/doxygen/html/newbyteorder_8hpp.html +++ b/docs/doxygen/html/newbyteorder_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/newbyteorder_8hpp_source.html b/docs/doxygen/html/newbyteorder_8hpp_source.html index 51bf84ca6..7c561c6cc 100644 --- a/docs/doxygen/html/newbyteorder_8hpp_source.html +++ b/docs/doxygen/html/newbyteorder_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/non_central_chi_squared_8hpp.html b/docs/doxygen/html/non_central_chi_squared_8hpp.html index b0fd5a842..4d5b3e185 100644 --- a/docs/doxygen/html/non_central_chi_squared_8hpp.html +++ b/docs/doxygen/html/non_central_chi_squared_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/non_central_chi_squared_8hpp_source.html b/docs/doxygen/html/non_central_chi_squared_8hpp_source.html index f3364c953..a78363f53 100644 --- a/docs/doxygen/html/non_central_chi_squared_8hpp_source.html +++ b/docs/doxygen/html/non_central_chi_squared_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/none_8hpp.html b/docs/doxygen/html/none_8hpp.html index cc77294e4..113fa80e5 100644 --- a/docs/doxygen/html/none_8hpp.html +++ b/docs/doxygen/html/none_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/none_8hpp_source.html b/docs/doxygen/html/none_8hpp_source.html index 0522729a1..f39609458 100644 --- a/docs/doxygen/html/none_8hpp_source.html +++ b/docs/doxygen/html/none_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/nonzero_8hpp.html b/docs/doxygen/html/nonzero_8hpp.html index c7e3d7adc..5f5f1d807 100644 --- a/docs/doxygen/html/nonzero_8hpp.html +++ b/docs/doxygen/html/nonzero_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/nonzero_8hpp_source.html b/docs/doxygen/html/nonzero_8hpp_source.html index c7476bb16..8d587d737 100644 --- a/docs/doxygen/html/nonzero_8hpp_source.html +++ b/docs/doxygen/html/nonzero_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/norm_8hpp.html b/docs/doxygen/html/norm_8hpp.html index 8fa382d55..90b3c1496 100644 --- a/docs/doxygen/html/norm_8hpp.html +++ b/docs/doxygen/html/norm_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/norm_8hpp_source.html b/docs/doxygen/html/norm_8hpp_source.html index 725d1f3fb..c9772928c 100644 --- a/docs/doxygen/html/norm_8hpp_source.html +++ b/docs/doxygen/html/norm_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/normal_8hpp.html b/docs/doxygen/html/normal_8hpp.html index 567f98e96..4d5c665d9 100644 --- a/docs/doxygen/html/normal_8hpp.html +++ b/docs/doxygen/html/normal_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/normal_8hpp_source.html b/docs/doxygen/html/normal_8hpp_source.html index 86c054529..10e019269 100644 --- a/docs/doxygen/html/normal_8hpp_source.html +++ b/docs/doxygen/html/normal_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/normalize_8hpp.html b/docs/doxygen/html/normalize_8hpp.html index e7f543261..cfc149879 100644 --- a/docs/doxygen/html/normalize_8hpp.html +++ b/docs/doxygen/html/normalize_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/normalize_8hpp_source.html b/docs/doxygen/html/normalize_8hpp_source.html index dc17b7d1f..b05c4bbbe 100644 --- a/docs/doxygen/html/normalize_8hpp_source.html +++ b/docs/doxygen/html/normalize_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/not__equal_8hpp.html b/docs/doxygen/html/not__equal_8hpp.html index 3beb2bd83..271c485e7 100644 --- a/docs/doxygen/html/not__equal_8hpp.html +++ b/docs/doxygen/html/not__equal_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/not__equal_8hpp_source.html b/docs/doxygen/html/not__equal_8hpp_source.html index 61692223a..d9048e5d6 100644 --- a/docs/doxygen/html/not__equal_8hpp_source.html +++ b/docs/doxygen/html/not__equal_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/nth__root_8hpp.html b/docs/doxygen/html/nth__root_8hpp.html index 3fdde6812..424a4e52b 100644 --- a/docs/doxygen/html/nth__root_8hpp.html +++ b/docs/doxygen/html/nth__root_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/nth__root_8hpp_source.html b/docs/doxygen/html/nth__root_8hpp_source.html index 9682032fd..d58eb666f 100644 --- a/docs/doxygen/html/nth__root_8hpp_source.html +++ b/docs/doxygen/html/nth__root_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/num2str_8hpp.html b/docs/doxygen/html/num2str_8hpp.html index 521d1e869..f186642c2 100644 --- a/docs/doxygen/html/num2str_8hpp.html +++ b/docs/doxygen/html/num2str_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/num2str_8hpp_source.html b/docs/doxygen/html/num2str_8hpp_source.html index db85070a1..ff4cf944d 100644 --- a/docs/doxygen/html/num2str_8hpp_source.html +++ b/docs/doxygen/html/num2str_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/ones_8hpp.html b/docs/doxygen/html/ones_8hpp.html index 28a53d1ab..5fa5875c2 100644 --- a/docs/doxygen/html/ones_8hpp.html +++ b/docs/doxygen/html/ones_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/ones_8hpp_source.html b/docs/doxygen/html/ones_8hpp_source.html index e6fca2342..c768e7a2b 100644 --- a/docs/doxygen/html/ones_8hpp_source.html +++ b/docs/doxygen/html/ones_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/ones__like_8hpp.html b/docs/doxygen/html/ones__like_8hpp.html index c63184665..8befee3cf 100644 --- a/docs/doxygen/html/ones__like_8hpp.html +++ b/docs/doxygen/html/ones__like_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/ones__like_8hpp_source.html b/docs/doxygen/html/ones__like_8hpp_source.html index 33eed4e1b..51908fe66 100644 --- a/docs/doxygen/html/ones__like_8hpp_source.html +++ b/docs/doxygen/html/ones__like_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/outer_8hpp.html b/docs/doxygen/html/outer_8hpp.html index e598c4700..268cf6e9e 100644 --- a/docs/doxygen/html/outer_8hpp.html +++ b/docs/doxygen/html/outer_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/outer_8hpp_source.html b/docs/doxygen/html/outer_8hpp_source.html index 05a6f4634..9f65e7777 100644 --- a/docs/doxygen/html/outer_8hpp_source.html +++ b/docs/doxygen/html/outer_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -141,36 +141,30 @@
                              51 {
                              52 STATIC_ASSERT_ARITHMETIC_OR_COMPLEX(dtype);
                              53
                              -
                              54 const auto size = inArray1.size();
                              -
                              55
                              -
                              56 if (size != inArray2.size())
                              -
                              57 {
                              -
                              58 THROW_INVALID_ARGUMENT_ERROR("Input arrays must be the same length");
                              -
                              59 }
                              -
                              60
                              -
                              61 auto returnArray = NdArray<dtype>(size);
                              -
                              62 for (uint32 row = 0; row < size; ++row)
                              -
                              63 {
                              -
                              64 const auto array1Value = inArray1[row];
                              -
                              65
                              -
                              66 std::transform(inArray2.begin(),
                              -
                              67 inArray2.end(),
                              -
                              68 returnArray.begin(row),
                              -
                              69 [array1Value](dtype value) -> dtype { return array1Value * value; });
                              -
                              70 }
                              -
                              71
                              -
                              72 return returnArray;
                              -
                              73 }
                              +
                              54 const auto size1 = inArray1.size();
                              +
                              55 const auto size2 = inArray2.size();
                              +
                              56
                              +
                              57 auto returnArray = NdArray<dtype>(size1, size2);
                              +
                              58 for (uint32 row = 0; row < size1; ++row)
                              +
                              59 {
                              +
                              60 const auto array1Value = inArray1[row];
                              +
                              61
                              +
                              62 std::transform(inArray2.begin(),
                              +
                              63 inArray2.end(),
                              +
                              64 returnArray.begin(row),
                              +
                              65 [array1Value](dtype value) -> dtype { return array1Value * value; });
                              +
                              66 }
                              +
                              67
                              +
                              68 return returnArray;
                              +
                              69 }
                              -
                              74} // namespace nc
                              +
                              70} // namespace nc
                              -
                              THROW_INVALID_ARGUMENT_ERROR
                              #define THROW_INVALID_ARGUMENT_ERROR(msg)
                              Definition Error.hpp:37
                              STATIC_ASSERT_ARITHMETIC_OR_COMPLEX
                              #define STATIC_ASSERT_ARITHMETIC_OR_COMPLEX(dtype)
                              Definition StaticAsserts.hpp:56
                              nc::NdArray
                              Holds 1D and 2D arrays, the main work horse of the NumCpp library.
                              Definition NdArrayCore.hpp:139
                              nc
                              Definition Cartesian.hpp:40
                              -
                              nc::size
                              uint32 size(const NdArray< dtype > &inArray) noexcept
                              Definition size.hpp:43
                              nc::outer
                              NdArray< dtype > outer(const NdArray< dtype > &inArray1, const NdArray< dtype > &inArray2)
                              Definition outer.hpp:50
                              nc::arange
                              NdArray< dtype > arange(dtype inStart, dtype inStop, dtype inStep=1)
                              Definition arange.hpp:59
                              nc::uint32
                              std::uint32_t uint32
                              Definition Types.hpp:40
                              diff --git a/docs/doxygen/html/packbits_8hpp.html b/docs/doxygen/html/packbits_8hpp.html index b2ae25964..7ddf9616c 100644 --- a/docs/doxygen/html/packbits_8hpp.html +++ b/docs/doxygen/html/packbits_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/packbits_8hpp_source.html b/docs/doxygen/html/packbits_8hpp_source.html index 905781de6..2ebf58b91 100644 --- a/docs/doxygen/html/packbits_8hpp_source.html +++ b/docs/doxygen/html/packbits_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/pad_8hpp.html b/docs/doxygen/html/pad_8hpp.html index e63ec79f4..c3626598e 100644 --- a/docs/doxygen/html/pad_8hpp.html +++ b/docs/doxygen/html/pad_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/pad_8hpp_source.html b/docs/doxygen/html/pad_8hpp_source.html index 5174a4834..cc4278399 100644 --- a/docs/doxygen/html/pad_8hpp_source.html +++ b/docs/doxygen/html/pad_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/pages.html b/docs/doxygen/html/pages.html index 593fd522a..019a438cd 100644 --- a/docs/doxygen/html/pages.html +++ b/docs/doxygen/html/pages.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/partition_8hpp.html b/docs/doxygen/html/partition_8hpp.html index e50da7cf2..1a8bef106 100644 --- a/docs/doxygen/html/partition_8hpp.html +++ b/docs/doxygen/html/partition_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/partition_8hpp_source.html b/docs/doxygen/html/partition_8hpp_source.html index efbd679fd..71935db13 100644 --- a/docs/doxygen/html/partition_8hpp_source.html +++ b/docs/doxygen/html/partition_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/percentile_8hpp.html b/docs/doxygen/html/percentile_8hpp.html index b4a38b60d..2b4938390 100644 --- a/docs/doxygen/html/percentile_8hpp.html +++ b/docs/doxygen/html/percentile_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/percentile_8hpp_source.html b/docs/doxygen/html/percentile_8hpp_source.html index 31569c938..2e9618512 100644 --- a/docs/doxygen/html/percentile_8hpp_source.html +++ b/docs/doxygen/html/percentile_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/percentile_filter1d_8hpp.html b/docs/doxygen/html/percentile_filter1d_8hpp.html index 2fec0ea98..fee4bfbb8 100644 --- a/docs/doxygen/html/percentile_filter1d_8hpp.html +++ b/docs/doxygen/html/percentile_filter1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/percentile_filter1d_8hpp_source.html b/docs/doxygen/html/percentile_filter1d_8hpp_source.html index 7151eda95..e97203004 100644 --- a/docs/doxygen/html/percentile_filter1d_8hpp_source.html +++ b/docs/doxygen/html/percentile_filter1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/percentile_filter_8hpp.html b/docs/doxygen/html/percentile_filter_8hpp.html index 6f9848bea..db20cefe6 100644 --- a/docs/doxygen/html/percentile_filter_8hpp.html +++ b/docs/doxygen/html/percentile_filter_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/percentile_filter_8hpp_source.html b/docs/doxygen/html/percentile_filter_8hpp_source.html index b2b1886b3..2b6427f8b 100644 --- a/docs/doxygen/html/percentile_filter_8hpp_source.html +++ b/docs/doxygen/html/percentile_filter_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/permutation_8hpp.html b/docs/doxygen/html/permutation_8hpp.html index eaab4789c..5605877ae 100644 --- a/docs/doxygen/html/permutation_8hpp.html +++ b/docs/doxygen/html/permutation_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/permutation_8hpp_source.html b/docs/doxygen/html/permutation_8hpp_source.html index 81cd1f3af..72b26915e 100644 --- a/docs/doxygen/html/permutation_8hpp_source.html +++ b/docs/doxygen/html/permutation_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/pinv_8hpp.html b/docs/doxygen/html/pinv_8hpp.html index ab73b49b2..97ac442f1 100644 --- a/docs/doxygen/html/pinv_8hpp.html +++ b/docs/doxygen/html/pinv_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -123,8 +123,7 @@
                              #include <string>
                              #include "NumCpp/Core/Internal/StaticAsserts.hpp"
                              #include "NumCpp/Core/Types.hpp"
                              -#include "NumCpp/Functions/zeros.hpp"
                              -#include "NumCpp/Linalg/svd.hpp"
                              +#include "NumCpp/Linalg/svd/SVD.hpp"
                              #include "NumCpp/NdArray.hpp"

                              Go to the source code of this file.

                              diff --git a/docs/doxygen/html/pinv_8hpp_source.html b/docs/doxygen/html/pinv_8hpp_source.html index da7b9ffbf..e24f12503 100644 --- a/docs/doxygen/html/pinv_8hpp_source.html +++ b/docs/doxygen/html/pinv_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -129,51 +129,34 @@
                              31
                              32#include "NumCpp/Core/Internal/StaticAsserts.hpp"
                              33#include "NumCpp/Core/Types.hpp"
                              -
                              34#include "NumCpp/Functions/zeros.hpp"
                              -
                              35#include "NumCpp/Linalg/svd.hpp"
                              -
                              36#include "NumCpp/NdArray.hpp"
                              -
                              37
                              -
                              38namespace nc::linalg
                              -
                              39{
                              -
                              40 //============================================================================
                              -
                              41 // Method Description:
                              -
                              49 template<typename dtype>
                              -
                              -
                              50 NdArray<double> pinv(const NdArray<dtype>& inArray)
                              -
                              51 {
                              -
                              52 STATIC_ASSERT_ARITHMETIC_OR_COMPLEX(dtype);
                              -
                              53
                              -
                              54 NdArray<double> u;
                              -
                              55 NdArray<double> d;
                              -
                              56 NdArray<double> v;
                              -
                              57 svd(inArray, u, d, v);
                              -
                              58
                              -
                              59 const auto inShape = inArray.shape();
                              -
                              60 auto dPlus = nc::zeros<double>(inShape.cols, inShape.rows); // transpose
                              -
                              61
                              -
                              62 for (uint32 i = 0; i < d.shape().rows; ++i)
                              -
                              63 {
                              -
                              64 dPlus(i, i) = 1. / d(i, i);
                              -
                              65 }
                              -
                              66
                              -
                              67 return v.transpose().dot(dPlus).dot(u.transpose());
                              -
                              68 }
                              +
                              34#include "NumCpp/Linalg/svd/SVD.hpp"
                              +
                              35#include "NumCpp/NdArray.hpp"
                              +
                              36
                              +
                              37namespace nc::linalg
                              +
                              38{
                              +
                              39 //============================================================================
                              +
                              40 // Method Description:
                              +
                              48 template<typename dtype>
                              + -
                              69} // namespace nc::linalg
                              +
                              55} // namespace nc::linalg
                              STATIC_ASSERT_ARITHMETIC_OR_COMPLEX
                              #define STATIC_ASSERT_ARITHMETIC_OR_COMPLEX(dtype)
                              Definition StaticAsserts.hpp:56
                              nc::NdArray
                              Holds 1D and 2D arrays, the main work horse of the NumCpp library.
                              Definition NdArrayCore.hpp:139
                              -
                              nc::NdArray::transpose
                              self_type transpose() const
                              Definition NdArrayCore.hpp:4959
                              -
                              nc::NdArray::dot
                              self_type dot(const self_type &inOtherArray) const
                              Definition NdArrayCore.hpp:2795
                              +
                              nc::linalg::SVD
                              Performs the singular value decomposition of a general matrix.
                              Definition svd/svd.hpp:50
                              +
                              nc::linalg::SVD::pinv
                              NdArray< double > pinv()
                              Definition svd/svd.hpp:109
                              nc::linalg
                              Definition cholesky.hpp:41
                              -
                              nc::linalg::pinv
                              NdArray< double > pinv(const NdArray< dtype > &inArray)
                              Definition pinv.hpp:50
                              -
                              nc::linalg::svd
                              void svd(const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVt)
                              Definition svd.hpp:51
                              +
                              nc::linalg::pinv
                              NdArray< double > pinv(const NdArray< dtype > &inArray)
                              Definition pinv.hpp:49
                              nc::arange
                              NdArray< dtype > arange(dtype inStart, dtype inStop, dtype inStep=1)
                              Definition arange.hpp:59
                              -
                              nc::uint32
                              std::uint32_t uint32
                              Definition Types.hpp:40
                              - - +
                              diff --git a/docs/doxygen/html/pivot_l_u__decomposition_8hpp.html b/docs/doxygen/html/pivot_l_u__decomposition_8hpp.html index 7c4949433..83cbd1c13 100644 --- a/docs/doxygen/html/pivot_l_u__decomposition_8hpp.html +++ b/docs/doxygen/html/pivot_l_u__decomposition_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/pivot_l_u__decomposition_8hpp_source.html b/docs/doxygen/html/pivot_l_u__decomposition_8hpp_source.html index a36dde238..758cb73c2 100644 --- a/docs/doxygen/html/pivot_l_u__decomposition_8hpp_source.html +++ b/docs/doxygen/html/pivot_l_u__decomposition_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -146,7 +146,7 @@
                              58 {
                              59 STATIC_ASSERT_ARITHMETIC(dtype);
                              60
                              -
                              61 const auto shape = inMatrix.shape();
                              +
                              61 const auto& shape = inMatrix.shape();
                              62
                              63 if (!shape.issquare())
                              64 {
                              diff --git a/docs/doxygen/html/place_8hpp.html b/docs/doxygen/html/place_8hpp.html index 972ee886e..0c802ccc5 100644 --- a/docs/doxygen/html/place_8hpp.html +++ b/docs/doxygen/html/place_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/place_8hpp_source.html b/docs/doxygen/html/place_8hpp_source.html index 87f923166..dcc7ff355 100644 --- a/docs/doxygen/html/place_8hpp_source.html +++ b/docs/doxygen/html/place_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/pnr_8hpp.html b/docs/doxygen/html/pnr_8hpp.html index 2c7c7e83e..989c31a90 100644 --- a/docs/doxygen/html/pnr_8hpp.html +++ b/docs/doxygen/html/pnr_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/pnr_8hpp_source.html b/docs/doxygen/html/pnr_8hpp_source.html index 993019f35..7f6a0a5d2 100644 --- a/docs/doxygen/html/pnr_8hpp_source.html +++ b/docs/doxygen/html/pnr_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/poisson_8hpp.html b/docs/doxygen/html/poisson_8hpp.html index 0f8848789..d8de9032a 100644 --- a/docs/doxygen/html/poisson_8hpp.html +++ b/docs/doxygen/html/poisson_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/poisson_8hpp_source.html b/docs/doxygen/html/poisson_8hpp_source.html index 2908ac753..e7ab4344c 100644 --- a/docs/doxygen/html/poisson_8hpp_source.html +++ b/docs/doxygen/html/poisson_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/polar_8hpp.html b/docs/doxygen/html/polar_8hpp.html index 248a58aeb..de4f1a3d0 100644 --- a/docs/doxygen/html/polar_8hpp.html +++ b/docs/doxygen/html/polar_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/polar_8hpp_source.html b/docs/doxygen/html/polar_8hpp_source.html index 8a9c1c1a4..473626eb2 100644 --- a/docs/doxygen/html/polar_8hpp_source.html +++ b/docs/doxygen/html/polar_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/polygamma_8hpp.html b/docs/doxygen/html/polygamma_8hpp.html index b5de770c0..c70a0a11f 100644 --- a/docs/doxygen/html/polygamma_8hpp.html +++ b/docs/doxygen/html/polygamma_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/polygamma_8hpp_source.html b/docs/doxygen/html/polygamma_8hpp_source.html index 9ae716927..b62654ff0 100644 --- a/docs/doxygen/html/polygamma_8hpp_source.html +++ b/docs/doxygen/html/polygamma_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/prime_8hpp.html b/docs/doxygen/html/prime_8hpp.html index 3c82d7bd3..4bff819d6 100644 --- a/docs/doxygen/html/prime_8hpp.html +++ b/docs/doxygen/html/prime_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/prime_8hpp_source.html b/docs/doxygen/html/prime_8hpp_source.html index 44f835374..9eb874dff 100644 --- a/docs/doxygen/html/prime_8hpp_source.html +++ b/docs/doxygen/html/prime_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/print_8hpp.html b/docs/doxygen/html/print_8hpp.html index 3c9d9f7b6..06299d832 100644 --- a/docs/doxygen/html/print_8hpp.html +++ b/docs/doxygen/html/print_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/print_8hpp_source.html b/docs/doxygen/html/print_8hpp_source.html index d3fb867aa..cdb002f5f 100644 --- a/docs/doxygen/html/print_8hpp_source.html +++ b/docs/doxygen/html/print_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/prod_8hpp.html b/docs/doxygen/html/prod_8hpp.html index 17179dfaf..bad4122b5 100644 --- a/docs/doxygen/html/prod_8hpp.html +++ b/docs/doxygen/html/prod_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/prod_8hpp_source.html b/docs/doxygen/html/prod_8hpp_source.html index 43b97929a..6f6b3e870 100644 --- a/docs/doxygen/html/prod_8hpp_source.html +++ b/docs/doxygen/html/prod_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/proj_8hpp.html b/docs/doxygen/html/proj_8hpp.html index 62a84f279..4fbce05d7 100644 --- a/docs/doxygen/html/proj_8hpp.html +++ b/docs/doxygen/html/proj_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/proj_8hpp_source.html b/docs/doxygen/html/proj_8hpp_source.html index 1b6f44ba6..4b0d39dee 100644 --- a/docs/doxygen/html/proj_8hpp_source.html +++ b/docs/doxygen/html/proj_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/ptp_8hpp.html b/docs/doxygen/html/ptp_8hpp.html index 664011590..022a8c5c1 100644 --- a/docs/doxygen/html/ptp_8hpp.html +++ b/docs/doxygen/html/ptp_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1all__arithmetic_3_01_t_01_4.html b/docs/doxygen/html/structnc_1_1all__arithmetic_3_01_t_01_4.html index 07a124ac1..c468221ad 100644 --- a/docs/doxygen/html/structnc_1_1all__arithmetic_3_01_t_01_4.html +++ b/docs/doxygen/html/structnc_1_1all__arithmetic_3_01_t_01_4.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1all__same.html b/docs/doxygen/html/structnc_1_1all__same.html index 89160b180..65da09b94 100644 --- a/docs/doxygen/html/structnc_1_1all__same.html +++ b/docs/doxygen/html/structnc_1_1all__same.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1all__same_3_01_t1_00_01_head_00_01_tail_8_8_8_01_4.html b/docs/doxygen/html/structnc_1_1all__same_3_01_t1_00_01_head_00_01_tail_8_8_8_01_4.html index 29cb71c68..b0e7d7377 100644 --- a/docs/doxygen/html/structnc_1_1all__same_3_01_t1_00_01_head_00_01_tail_8_8_8_01_4.html +++ b/docs/doxygen/html/structnc_1_1all__same_3_01_t1_00_01_head_00_01_tail_8_8_8_01_4.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1all__same_3_01_t1_00_01_t2_01_4.html b/docs/doxygen/html/structnc_1_1all__same_3_01_t1_00_01_t2_01_4.html index b7d3dcdb8..c2fe4e456 100644 --- a/docs/doxygen/html/structnc_1_1all__same_3_01_t1_00_01_t2_01_4.html +++ b/docs/doxygen/html/structnc_1_1all__same_3_01_t1_00_01_t2_01_4.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1greater_than.html b/docs/doxygen/html/structnc_1_1greater_than.html index 0415822e8..22d127b68 100644 --- a/docs/doxygen/html/structnc_1_1greater_than.html +++ b/docs/doxygen/html/structnc_1_1greater_than.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1is__complex.html b/docs/doxygen/html/structnc_1_1is__complex.html index b4e58c6b8..d1c1199a4 100644 --- a/docs/doxygen/html/structnc_1_1is__complex.html +++ b/docs/doxygen/html/structnc_1_1is__complex.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1is__complex_3_01std_1_1complex_3_01_t_01_4_01_4.html b/docs/doxygen/html/structnc_1_1is__complex_3_01std_1_1complex_3_01_t_01_4_01_4.html index 01d42777f..d5423b720 100644 --- a/docs/doxygen/html/structnc_1_1is__complex_3_01std_1_1complex_3_01_t_01_4_01_4.html +++ b/docs/doxygen/html/structnc_1_1is__complex_3_01std_1_1complex_3_01_t_01_4_01_4.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1is__ndarray__int.html b/docs/doxygen/html/structnc_1_1is__ndarray__int.html index edff4b3b8..465c72e2f 100644 --- a/docs/doxygen/html/structnc_1_1is__ndarray__int.html +++ b/docs/doxygen/html/structnc_1_1is__ndarray__int.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1is__ndarray__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html b/docs/doxygen/html/structnc_1_1is__ndarray__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html index b6b8b45f9..3649e2e53 100644 --- a/docs/doxygen/html/structnc_1_1is__ndarray__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html +++ b/docs/doxygen/html/structnc_1_1is__ndarray__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1is__valid__dtype.html b/docs/doxygen/html/structnc_1_1is__valid__dtype.html index 34dd08080..d4d817564 100644 --- a/docs/doxygen/html/structnc_1_1is__valid__dtype.html +++ b/docs/doxygen/html/structnc_1_1is__valid__dtype.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__int.html b/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__int.html index 7bdc76a2a..593f6259e 100644 --- a/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__int.html +++ b/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__int.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html b/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html index 8e63f584a..0676ca517 100644 --- a/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html +++ b/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__signed__int.html b/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__signed__int.html index 5a649ff98..4d4f8262f 100644 --- a/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__signed__int.html +++ b/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__signed__int.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__signed__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html b/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__signed__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html index 6eeabd135..98e68db14 100644 --- a/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__signed__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html +++ b/docs/doxygen/html/structnc_1_1type__traits_1_1is__ndarray__signed__int_3_01_nd_array_3_01dtype_00_01_allocator_01_4_01_4.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/structnc_1_1utils_1_1timeit__detail_1_1_result.html b/docs/doxygen/html/structnc_1_1utils_1_1timeit__detail_1_1_result.html index 2a917b6fe..306e7b688 100644 --- a/docs/doxygen/html/structnc_1_1utils_1_1timeit__detail_1_1_result.html +++ b/docs/doxygen/html/structnc_1_1utils_1_1timeit__detail_1_1_result.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/student_t_8hpp.html b/docs/doxygen/html/student_t_8hpp.html index eee3db4ec..9b96e3e96 100644 --- a/docs/doxygen/html/student_t_8hpp.html +++ b/docs/doxygen/html/student_t_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/student_t_8hpp_source.html b/docs/doxygen/html/student_t_8hpp_source.html index 6a3863580..32c9c046d 100644 --- a/docs/doxygen/html/student_t_8hpp_source.html +++ b/docs/doxygen/html/student_t_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/subtract_8hpp.html b/docs/doxygen/html/subtract_8hpp.html index b01dd9b97..91f192b60 100644 --- a/docs/doxygen/html/subtract_8hpp.html +++ b/docs/doxygen/html/subtract_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/subtract_8hpp_source.html b/docs/doxygen/html/subtract_8hpp_source.html index f8759277b..2adccbb2d 100644 --- a/docs/doxygen/html/subtract_8hpp_source.html +++ b/docs/doxygen/html/subtract_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/sum_8hpp.html b/docs/doxygen/html/sum_8hpp.html index b9bea33b2..fb3b4e6ff 100644 --- a/docs/doxygen/html/sum_8hpp.html +++ b/docs/doxygen/html/sum_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/sum_8hpp_source.html b/docs/doxygen/html/sum_8hpp_source.html index 48b9ffad9..c256b85d1 100644 --- a/docs/doxygen/html/sum_8hpp_source.html +++ b/docs/doxygen/html/sum_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/_s_v_d_class_8hpp.html b/docs/doxygen/html/svd_2svd_8hpp.html similarity index 89% rename from docs/doxygen/html/_s_v_d_class_8hpp.html rename to docs/doxygen/html/svd_2svd_8hpp.html index cf8470cf3..2cc8c6390 100644 --- a/docs/doxygen/html/_s_v_d_class_8hpp.html +++ b/docs/doxygen/html/svd_2svd_8hpp.html @@ -7,7 +7,7 @@ - NumCpp: SVDClass.hpp File Reference + NumCpp: SVD.hpp File Reference @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -88,7 +88,7 @@
                              @@ -117,7 +117,7 @@
                              Data Structures | Namespaces
                              -
                              SVDClass.hpp File Reference
                              +
                              SVD.hpp File Reference
                              #include <cmath>
                              @@ -125,14 +125,18 @@ #include <string>
                              #include "NumCpp/Core/Internal/Error.hpp"
                              #include "NumCpp/Core/Types.hpp"
                              +#include "NumCpp/Functions/dot.hpp"
                              +#include "NumCpp/Functions/norm.hpp"
                              +#include "NumCpp/Functions/zeros.hpp"
                              +#include "NumCpp/Linalg/eig.hpp"
                              #include "NumCpp/NdArray.hpp"
                              -#include "NumCpp/Utils/essentiallyEqual.hpp"
                              -

                              Go to the source code of this file.

                              +

                              Go to the source code of this file.

                              - + +

                              Data Structures

                              class  nc::linalg::SVD
                              class  nc::linalg::SVD< dtype >
                               Performs the singular value decomposition of a general matrix. More...
                               
                              @@ -123,7 +123,7 @@
                              #include <utility>
                              #include "NumCpp/Core/Internal/StaticAsserts.hpp"
                              #include "NumCpp/Functions/diagflat.hpp"
                              -#include "NumCpp/Linalg/svd/SVDClass.hpp"
                              +#include "NumCpp/Linalg/svd/SVD.hpp"
                              #include "NumCpp/NdArray.hpp"

                              Go to the source code of this file.

                              @@ -137,9 +137,9 @@

                              @@ -154,7 +158,7 @@ diff --git a/docs/doxygen/html/svd_2svd_8hpp.js b/docs/doxygen/html/svd_2svd_8hpp.js new file mode 100644 index 000000000..8c8846efd --- /dev/null +++ b/docs/doxygen/html/svd_2svd_8hpp.js @@ -0,0 +1,4 @@ +var svd_2svd_8hpp = +[ + [ "nc::linalg::SVD< dtype >", "classnc_1_1linalg_1_1_s_v_d.html", "classnc_1_1linalg_1_1_s_v_d" ] +]; \ No newline at end of file diff --git a/docs/doxygen/html/svd_2svd_8hpp_source.html b/docs/doxygen/html/svd_2svd_8hpp_source.html new file mode 100644 index 000000000..d0d69e36e --- /dev/null +++ b/docs/doxygen/html/svd_2svd_8hpp_source.html @@ -0,0 +1,343 @@ + + + + + + + + + NumCpp: SVD.hpp Source File + + + + + + + + + + + + + + + + + + + + + + + + +
                              + +
                              + + + + + + + +
                              +
                              NumCpp +  2.16.0 +
                              +
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              +
                              +
                              + + + + + + + +
                              +
                              + +
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                              +
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                              +
                              svd/svd.hpp
                              +
                              +
                              +Go to the documentation of this file.
                              1
                              +
                              29#pragma once
                              +
                              30
                              +
                              31#include <cmath>
                              +
                              32#include <limits>
                              +
                              33#include <string>
                              +
                              34
                              +
                              35#include "NumCpp/Core/Internal/Error.hpp"
                              +
                              36#include "NumCpp/Core/Types.hpp"
                              +
                              37#include "NumCpp/Functions/dot.hpp"
                              +
                              38#include "NumCpp/Functions/norm.hpp"
                              +
                              39#include "NumCpp/Functions/zeros.hpp"
                              +
                              40#include "NumCpp/Linalg/eig.hpp"
                              +
                              41#include "NumCpp/NdArray.hpp"
                              +
                              42
                              +
                              43namespace nc::linalg
                              +
                              44{
                              +
                              45 // =============================================================================
                              +
                              46 // Class Description:
                              +
                              48 template<typename dtype>
                              +
                              +
                              49 class SVD
                              +
                              50 {
                              +
                              51 public:
                              +
                              52 STATIC_ASSERT_ARITHMETIC(dtype);
                              +
                              53
                              +
                              54 static constexpr auto TOLERANCE = 1e-12;
                              +
                              55
                              +
                              56 // =============================================================================
                              +
                              57 // Description:
                              +
                              +
                              62 explicit SVD(const NdArray<dtype>& inMatrix) :
                              +
                              63 m_{ inMatrix.shape().rows },
                              +
                              64 n_{ inMatrix.shape().cols },
                              +
                              65 s_(1, m_)
                              +
                              66 {
                              +
                              67 compute(inMatrix.template astype<double>());
                              +
                              68 }
                              +
                              +
                              69
                              +
                              70 // =============================================================================
                              +
                              71 // Description:
                              +
                              +
                              76 const NdArray<double>& u() const noexcept
                              +
                              77 {
                              +
                              78 return u_;
                              +
                              79 }
                              +
                              +
                              80
                              +
                              81 // =============================================================================
                              +
                              82 // Description:
                              +
                              +
                              87 const NdArray<double>& v() const noexcept
                              +
                              88 {
                              +
                              89 return v_;
                              +
                              90 }
                              +
                              +
                              91
                              +
                              92 // =============================================================================
                              +
                              93 // Description:
                              +
                              +
                              98 const NdArray<double>& s() const noexcept
                              +
                              99 {
                              +
                              100 return s_;
                              +
                              101 }
                              +
                              +
                              102
                              +
                              103 // =============================================================================
                              +
                              104 // Description:
                              +
                              +
                              109 NdArray<double> pinv()
                              +
                              110 {
                              +
                              111 // lazy evaluation
                              +
                              112 if (pinv_.isempty())
                              +
                              113 {
                              +
                              114 auto sInverse = nc::zeros<double>(n_, m_); // transpose
                              +
                              115 for (auto i = 0u; i < std::min(m_, n_); ++i)
                              +
                              116 {
                              +
                              117 if (s_[i] > TOLERANCE)
                              +
                              118 {
                              +
                              119 sInverse(i, i) = 1. / s_[i];
                              +
                              120 }
                              +
                              121 }
                              +
                              122
                              +
                              123 pinv_ = dot(v_, dot(sInverse, u_.transpose()));
                              +
                              124 }
                              +
                              125
                              +
                              126 return pinv_;
                              +
                              127 }
                              +
                              +
                              128
                              +
                              129 // =============================================================================
                              +
                              130 // Description:
                              +
                              +
                              137 NdArray<double> lstsq(const NdArray<double>& inInput)
                              +
                              138 {
                              +
                              139 if (inInput.size() != m_)
                              +
                              140 {
                              +
                              141 THROW_INVALID_ARGUMENT_ERROR("Invalid matrix dimensions");
                              +
                              142 }
                              +
                              143
                              +
                              144 if (inInput.numCols() == 1)
                              +
                              145 {
                              +
                              146 return dot(pinv(), inInput);
                              +
                              147 }
                              +
                              148 else
                              +
                              149 {
                              +
                              150 const auto input = inInput.copy().reshape(inInput.size(), 1);
                              +
                              151 return dot(pinv(), input);
                              +
                              152 }
                              +
                              153 }
                              +
                              +
                              154
                              +
                              155 private:
                              +
                              156 // =============================================================================
                              +
                              157 // Description:
                              +
                              162 void compute(const NdArray<double>& A)
                              +
                              163 {
                              +
                              164 const auto At = A.transpose();
                              +
                              165 const auto AtA = dot(At, A);
                              +
                              166 const auto AAt = dot(A, At);
                              +
                              167
                              +
                              168 const auto& [sigmaSquaredU, U] = eig(AAt);
                              +
                              169 const auto& [sigmaSquaredV, V] = eig(AtA);
                              +
                              170
                              +
                              171 auto rank = 0u;
                              +
                              172 for (auto i = 0u; i < std::min(m_, n_); ++i)
                              +
                              173 {
                              +
                              174 if (sigmaSquaredV[i] > TOLERANCE)
                              +
                              175 {
                              +
                              176 s_[i] = std::sqrt(sigmaSquaredV[i]);
                              +
                              177 rank++;
                              +
                              178 }
                              +
                              179 }
                              +
                              180
                              +
                              181 // std::cout << U.front() << ' ' << U.back() << '\n';
                              +
                              182 // std::cout << V.front() << ' ' << V.back() << '\n';
                              +
                              183 // std::cout << "hello world\n";
                              +
                              184
                              +
                              185 u_ = std::move(U);
                              +
                              186 v_ = std::move(V);
                              +
                              187
                              +
                              188 auto Av = NdArray<double>(m_, 1);
                              +
                              189 for (auto i = 0u; i < rank; ++i)
                              +
                              190 {
                              +
                              191 for (auto j = 0u; j < m_; ++j)
                              +
                              192 {
                              +
                              193 auto sum = 0.;
                              +
                              194 for (auto k = 0u; k < n_; ++k)
                              +
                              195 {
                              +
                              196 sum += A(j, k) * v_(k, i);
                              +
                              197 }
                              +
                              198 Av[j] = sum;
                              +
                              199 }
                              +
                              200
                              +
                              201 const auto normalization = norm(Av).item();
                              +
                              202
                              +
                              203 if (normalization > TOLERANCE)
                              +
                              204 {
                              +
                              205 for (auto j = 0u; j < m_; ++j)
                              +
                              206 {
                              +
                              207 u_(j, i) = Av[j] / normalization;
                              +
                              208 }
                              +
                              209 }
                              +
                              210 }
                              +
                              211 }
                              +
                              212
                              +
                              213 private:
                              +
                              214 // ===============================Attributes====================================
                              +
                              215 const uint32 m_{};
                              +
                              216 const uint32 n_{};
                              +
                              217 NdArray<double> u_{};
                              +
                              218 NdArray<double> v_{};
                              +
                              219 NdArray<double> s_{};
                              +
                              220 NdArray<double> pinv_{};
                              +
                              221 };
                              +
                              +
                              222} // namespace nc::linalg
                              + +
                              THROW_INVALID_ARGUMENT_ERROR
                              #define THROW_INVALID_ARGUMENT_ERROR(msg)
                              Definition Error.hpp:37
                              + + +
                              nc::NdArray
                              Holds 1D and 2D arrays, the main work horse of the NumCpp library.
                              Definition NdArrayCore.hpp:139
                              +
                              nc::NdArray::transpose
                              self_type transpose() const
                              Definition NdArrayCore.hpp:4959
                              +
                              nc::NdArray::isempty
                              bool isempty() const noexcept
                              Definition NdArrayCore.hpp:3008
                              +
                              nc::NdArray::item
                              value_type item() const
                              Definition NdArrayCore.hpp:3098
                              +
                              nc::linalg::SVD
                              Performs the singular value decomposition of a general matrix.
                              Definition svd/svd.hpp:50
                              +
                              nc::linalg::SVD::u
                              const NdArray< double > & u() const noexcept
                              Definition svd/svd.hpp:76
                              +
                              nc::linalg::SVD::s
                              const NdArray< double > & s() const noexcept
                              Definition svd/svd.hpp:98
                              +
                              nc::linalg::SVD::STATIC_ASSERT_ARITHMETIC
                              STATIC_ASSERT_ARITHMETIC(dtype)
                              +
                              nc::linalg::SVD::TOLERANCE
                              static constexpr auto TOLERANCE
                              Definition svd/svd.hpp:54
                              +
                              nc::linalg::SVD::pinv
                              NdArray< double > pinv()
                              Definition svd/svd.hpp:109
                              +
                              nc::linalg::SVD::SVD
                              SVD(const NdArray< dtype > &inMatrix)
                              Definition svd/svd.hpp:62
                              +
                              nc::linalg::SVD::lstsq
                              NdArray< double > lstsq(const NdArray< double > &inInput)
                              Definition svd/svd.hpp:137
                              +
                              nc::linalg::SVD::v
                              const NdArray< double > & v() const noexcept
                              Definition svd/svd.hpp:87
                              + + +
                              nc::constants::j
                              constexpr auto j
                              Definition Core/Constants.hpp:42
                              +
                              nc::linalg
                              Definition cholesky.hpp:41
                              +
                              nc::linalg::eig
                              std::pair< NdArray< double >, NdArray< double > > eig(const NdArray< dtype > &inA, double inTolerance=1e-12)
                              Definition eig.hpp:53
                              +
                              nc::norm
                              NdArray< double > norm(const NdArray< dtype > &inArray, Axis inAxis=Axis::NONE)
                              Definition norm.hpp:51
                              +
                              nc::dot
                              NdArray< dtype > dot(const NdArray< dtype > &inArray1, const NdArray< dtype > &inArray2)
                              Definition dot.hpp:47
                              +
                              nc::arange
                              NdArray< dtype > arange(dtype inStart, dtype inStop, dtype inStep=1)
                              Definition arange.hpp:59
                              +
                              nc::sum
                              NdArray< dtype > sum(const NdArray< dtype > &inArray, Axis inAxis=Axis::NONE)
                              Definition sum.hpp:46
                              +
                              nc::shape
                              Shape shape(const NdArray< dtype > &inArray) noexcept
                              Definition Functions/shape.hpp:42
                              +
                              nc::uint32
                              std::uint32_t uint32
                              Definition Types.hpp:40
                              + + +
                              +
                              + + + + diff --git a/docs/doxygen/html/svd_8hpp.html b/docs/doxygen/html/svd_8hpp.html index d6562a269..1261746d5 100644 --- a/docs/doxygen/html/svd_8hpp.html +++ b/docs/doxygen/html/svd_8hpp.html @@ -50,7 +50,7 @@

                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              - - - + + +

                              Functions

                              template<typename dtype >
                              void nc::linalg::svd (const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVt)
                               
                              template<typename dtype >
                              void nc::linalg::svd (const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVT)
                               

                              Detailed Description

                              Author
                              David Pilger dpilg.nosp@m.er26.nosp@m.@gmai.nosp@m.l.co.nosp@m.m GitHub Repository
                              diff --git a/docs/doxygen/html/svd_8hpp.js b/docs/doxygen/html/svd_8hpp.js index 786e1e062..92b4b7eaa 100644 --- a/docs/doxygen/html/svd_8hpp.js +++ b/docs/doxygen/html/svd_8hpp.js @@ -1,4 +1,4 @@ var svd_8hpp = [ - [ "svd", "svd_8hpp.html#acb38ad2613d50422afc539d005159055", null ] + [ "svd", "svd_8hpp.html#a305c49baed6667d8d64b9cd13f2c5060", null ] ]; \ No newline at end of file diff --git a/docs/doxygen/html/svd_8hpp_source.html b/docs/doxygen/html/svd_8hpp_source.html index 5667da7c7..457860640 100644 --- a/docs/doxygen/html/svd_8hpp_source.html +++ b/docs/doxygen/html/svd_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -129,7 +129,7 @@
                              31
                              32#include "NumCpp/Core/Internal/StaticAsserts.hpp"
                              33#include "NumCpp/Functions/diagflat.hpp"
                              -
                              34#include "NumCpp/Linalg/svd/SVDClass.hpp"
                              +
                              34#include "NumCpp/Linalg/svd/SVD.hpp"
                              35#include "NumCpp/NdArray.hpp"
                              36
                              37namespace nc::linalg
                              @@ -138,33 +138,30 @@
                              40 // Method Description:
                              50 template<typename dtype>
                              -
                              51 void svd(const NdArray<dtype>& inArray, NdArray<double>& outU, NdArray<double>& outS, NdArray<double>& outVt)
                              +
                              51 void svd(const NdArray<dtype>& inArray, NdArray<double>& outU, NdArray<double>& outS, NdArray<double>& outVT)
                              52 {
                              53 STATIC_ASSERT_ARITHMETIC(dtype);
                              54
                              -
                              55 SVD svdSolver(inArray.template astype<double>());
                              -
                              56 outU = svdSolver.u();
                              -
                              57
                              -
                              58 NdArray<double> vt = svdSolver.v().transpose();
                              -
                              59 outVt = std::move(vt);
                              -
                              60
                              -
                              61 NdArray<double> s = diagflat(svdSolver.s(), 0);
                              -
                              62 outS = std::move(s);
                              -
                              63 }
                              +
                              55 const auto svd = SVD{ inArray };
                              +
                              56
                              +
                              57 outU = svd.u();
                              +
                              58 outS = std::move(svd.s()[Slice(std::min(inArray.numRows(), inArray.numCols()))]);
                              +
                              59 outVT = std::move(svd.v().transpose());
                              +
                              60 }
                              -
                              64} // namespace nc::linalg
                              +
                              61} // namespace nc::linalg
                              -
                              STATIC_ASSERT_ARITHMETIC
                              #define STATIC_ASSERT_ARITHMETIC(dtype)
                              Definition StaticAsserts.hpp:39
                              nc::NdArray
                              Holds 1D and 2D arrays, the main work horse of the NumCpp library.
                              Definition NdArrayCore.hpp:139
                              -
                              nc::NdArray::transpose
                              self_type transpose() const
                              Definition NdArrayCore.hpp:4959
                              -
                              nc::linalg::SVD
                              Definition SVDClass.hpp:47
                              +
                              nc::Slice
                              A Class for slicing into NdArrays.
                              Definition Slice.hpp:45
                              +
                              nc::linalg::SVD
                              Performs the singular value decomposition of a general matrix.
                              Definition svd/svd.hpp:50
                              +
                              nc::linalg::SVD::u
                              const NdArray< double > & u() const noexcept
                              Definition svd/svd.hpp:76
                              nc::linalg
                              Definition cholesky.hpp:41
                              -
                              nc::linalg::svd
                              void svd(const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVt)
                              Definition svd.hpp:51
                              +
                              nc::linalg::svd
                              void svd(const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVT)
                              Definition svd.hpp:51
                              nc::arange
                              NdArray< dtype > arange(dtype inStart, dtype inStop, dtype inStep=1)
                              Definition arange.hpp:59
                              -
                              nc::diagflat
                              NdArray< dtype > diagflat(const NdArray< dtype > &inArray, int32 k=0)
                              Definition diagflat.hpp:51
                              +
                              diff --git a/docs/doxygen/html/svdvals_8hpp.html b/docs/doxygen/html/svdvals_8hpp.html new file mode 100644 index 000000000..340d4e05c --- /dev/null +++ b/docs/doxygen/html/svdvals_8hpp.html @@ -0,0 +1,160 @@ + + + + + + + + + NumCpp: svdvals.hpp File Reference + + + + + + + + + + + + + + + + + + + + + + + + +
                              + +
                              + + + + + + + +
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                              NumCpp +  2.16.0 +
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                              +
                              +
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                              +
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                              svdvals.hpp File Reference
                              +
                              +
                              +
                              #include <utility>
                              +#include "NumCpp/Core/Internal/StaticAsserts.hpp"
                              +#include "NumCpp/Linalg/svd.hpp"
                              +#include "NumCpp/NdArray.hpp"
                              +
                              +

                              Go to the source code of this file.

                              + + + + + + +

                              +Namespaces

                              namespace  nc
                               
                              namespace  nc::linalg
                               
                              + + + + +

                              +Functions

                              template<typename dtype >
                              NdArray< double > nc::linalg::svdvals (const NdArray< dtype > &inArray)
                               
                              +

                              Detailed Description

                              +
                              Author
                              David Pilger dpilg.nosp@m.er26.nosp@m.@gmai.nosp@m.l.co.nosp@m.m GitHub Repository
                              +

                              License Copyright 2018-2026 David Pilger

                              +

                              Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files(the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions :

                              +

                              The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

                              +

                              THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

                              +

                              Description matrix svd

                              +
                              +
                              + + + + diff --git a/docs/doxygen/html/svdvals_8hpp.js b/docs/doxygen/html/svdvals_8hpp.js new file mode 100644 index 000000000..8a352790c --- /dev/null +++ b/docs/doxygen/html/svdvals_8hpp.js @@ -0,0 +1,4 @@ +var svdvals_8hpp = +[ + [ "svdvals", "svdvals_8hpp.html#a9c3f05864405242a8917530242cdda9c", null ] +]; \ No newline at end of file diff --git a/docs/doxygen/html/svdvals_8hpp_source.html b/docs/doxygen/html/svdvals_8hpp_source.html new file mode 100644 index 000000000..d7f6cef6e --- /dev/null +++ b/docs/doxygen/html/svdvals_8hpp_source.html @@ -0,0 +1,173 @@ + + + + + + + + + NumCpp: svdvals.hpp Source File + + + + + + + + + + + + + + + + + + + + + + + + +
                              + +
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                              NumCpp +  2.16.0 +
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                              svdvals.hpp
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                              +Go to the documentation of this file.
                              1
                              +
                              28#pragma once
                              +
                              29
                              +
                              30#include <utility>
                              +
                              31
                              +
                              32#include "NumCpp/Core/Internal/StaticAsserts.hpp"
                              +
                              33#include "NumCpp/Linalg/svd.hpp"
                              +
                              34#include "NumCpp/NdArray.hpp"
                              +
                              35
                              +
                              36namespace nc::linalg
                              +
                              37{
                              +
                              38 //============================================================================
                              +
                              39 // Method Description:
                              +
                              48 template<typename dtype>
                              +
                              +
                              49 NdArray<double> svdvals(const NdArray<dtype>& inArray)
                              +
                              50 {
                              +
                              51 STATIC_ASSERT_ARITHMETIC(dtype);
                              +
                              52
                              +
                              53 auto u = NdArray<double>{};
                              +
                              54 auto s = NdArray<double>{};
                              +
                              55 auto vT = NdArray<double>{};
                              +
                              56
                              +
                              57 svd(inArray, u, s, vT);
                              +
                              58
                              +
                              59 return s;
                              +
                              60 }
                              +
                              +
                              61} // namespace nc::linalg
                              + + +
                              STATIC_ASSERT_ARITHMETIC
                              #define STATIC_ASSERT_ARITHMETIC(dtype)
                              Definition StaticAsserts.hpp:39
                              +
                              nc::NdArray
                              Holds 1D and 2D arrays, the main work horse of the NumCpp library.
                              Definition NdArrayCore.hpp:139
                              +
                              nc::linalg
                              Definition cholesky.hpp:41
                              +
                              nc::linalg::svd
                              void svd(const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVT)
                              Definition svd.hpp:51
                              +
                              nc::linalg::svdvals
                              NdArray< double > svdvals(const NdArray< dtype > &inArray)
                              Definition svdvals.hpp:49
                              +
                              nc::arange
                              NdArray< dtype > arange(dtype inStart, dtype inStop, dtype inStep=1)
                              Definition arange.hpp:59
                              + +
                              +
                              + + + + diff --git a/docs/doxygen/html/swap_8hpp.html b/docs/doxygen/html/swap_8hpp.html index 317bfc171..a767c1e4c 100644 --- a/docs/doxygen/html/swap_8hpp.html +++ b/docs/doxygen/html/swap_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/swap_8hpp_source.html b/docs/doxygen/html/swap_8hpp_source.html index d6baceb22..ec6edc4c6 100644 --- a/docs/doxygen/html/swap_8hpp_source.html +++ b/docs/doxygen/html/swap_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/swap_cols_8hpp.html b/docs/doxygen/html/swap_cols_8hpp.html index 5af569e6c..c00d75707 100644 --- a/docs/doxygen/html/swap_cols_8hpp.html +++ b/docs/doxygen/html/swap_cols_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              A Templatized Header Only C++ Implementation of the Python NumPy Library
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                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/to_stl_vector_8hpp_source.html b/docs/doxygen/html/to_stl_vector_8hpp_source.html index 58b9f42c4..d7ce2b5ad 100644 --- a/docs/doxygen/html/to_stl_vector_8hpp_source.html +++ b/docs/doxygen/html/to_stl_vector_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/tofile_8hpp.html b/docs/doxygen/html/tofile_8hpp.html index 5f42e9d11..7d5159ae2 100644 --- a/docs/doxygen/html/tofile_8hpp.html +++ b/docs/doxygen/html/tofile_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/tofile_8hpp_source.html b/docs/doxygen/html/tofile_8hpp_source.html index 7d59702ef..9fc67c5ac 100644 --- a/docs/doxygen/html/tofile_8hpp_source.html +++ b/docs/doxygen/html/tofile_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trace_8hpp.html b/docs/doxygen/html/trace_8hpp.html index f0760212d..4aa1b080c 100644 --- a/docs/doxygen/html/trace_8hpp.html +++ b/docs/doxygen/html/trace_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trace_8hpp_source.html b/docs/doxygen/html/trace_8hpp_source.html index 3d1f90078..34ad8d71a 100644 --- a/docs/doxygen/html/trace_8hpp_source.html +++ b/docs/doxygen/html/trace_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/transpose_8hpp.html b/docs/doxygen/html/transpose_8hpp.html index 7252c7dd0..d0e8464ee 100644 --- a/docs/doxygen/html/transpose_8hpp.html +++ b/docs/doxygen/html/transpose_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/transpose_8hpp_source.html b/docs/doxygen/html/transpose_8hpp_source.html index fc73dad10..8da84c856 100644 --- a/docs/doxygen/html/transpose_8hpp_source.html +++ b/docs/doxygen/html/transpose_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trapazoidal_8hpp.html b/docs/doxygen/html/trapazoidal_8hpp.html index 43658d24e..5db677371 100644 --- a/docs/doxygen/html/trapazoidal_8hpp.html +++ b/docs/doxygen/html/trapazoidal_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trapazoidal_8hpp_source.html b/docs/doxygen/html/trapazoidal_8hpp_source.html index 9ba2fa4b1..714e84732 100644 --- a/docs/doxygen/html/trapazoidal_8hpp_source.html +++ b/docs/doxygen/html/trapazoidal_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trapz_8hpp.html b/docs/doxygen/html/trapz_8hpp.html index 37492b569..7502e43c8 100644 --- a/docs/doxygen/html/trapz_8hpp.html +++ b/docs/doxygen/html/trapz_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trapz_8hpp_source.html b/docs/doxygen/html/trapz_8hpp_source.html index 61efcd660..2d5ce0968 100644 --- a/docs/doxygen/html/trapz_8hpp_source.html +++ b/docs/doxygen/html/trapz_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/tri_8hpp.html b/docs/doxygen/html/tri_8hpp.html index e633f040b..d4a4d5aa3 100644 --- a/docs/doxygen/html/tri_8hpp.html +++ b/docs/doxygen/html/tri_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/tri_8hpp_source.html b/docs/doxygen/html/tri_8hpp_source.html index 679ee29ad..766764820 100644 --- a/docs/doxygen/html/tri_8hpp_source.html +++ b/docs/doxygen/html/tri_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/triangle_8hpp.html b/docs/doxygen/html/triangle_8hpp.html index 3c882bd4d..ec787c8c0 100644 --- a/docs/doxygen/html/triangle_8hpp.html +++ b/docs/doxygen/html/triangle_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/triangle_8hpp_source.html b/docs/doxygen/html/triangle_8hpp_source.html index 4343b07dc..17e4d1dcf 100644 --- a/docs/doxygen/html/triangle_8hpp_source.html +++ b/docs/doxygen/html/triangle_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trigamma_8hpp.html b/docs/doxygen/html/trigamma_8hpp.html index ec64dd62e..c81b467ef 100644 --- a/docs/doxygen/html/trigamma_8hpp.html +++ b/docs/doxygen/html/trigamma_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trigamma_8hpp_source.html b/docs/doxygen/html/trigamma_8hpp_source.html index 81d01ab3f..f5d43071a 100644 --- a/docs/doxygen/html/trigamma_8hpp_source.html +++ b/docs/doxygen/html/trigamma_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trim__zeros_8hpp.html b/docs/doxygen/html/trim__zeros_8hpp.html index 73271ff38..4b9ca2653 100644 --- a/docs/doxygen/html/trim__zeros_8hpp.html +++ b/docs/doxygen/html/trim__zeros_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trim__zeros_8hpp_source.html b/docs/doxygen/html/trim__zeros_8hpp_source.html index bafccf7ed..a8064dcc4 100644 --- a/docs/doxygen/html/trim__zeros_8hpp_source.html +++ b/docs/doxygen/html/trim__zeros_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trim_boundary1d_8hpp.html b/docs/doxygen/html/trim_boundary1d_8hpp.html index e1c6b9f70..b4376abe0 100644 --- a/docs/doxygen/html/trim_boundary1d_8hpp.html +++ b/docs/doxygen/html/trim_boundary1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trim_boundary1d_8hpp_source.html b/docs/doxygen/html/trim_boundary1d_8hpp_source.html index 7c971debd..8122f84b4 100644 --- a/docs/doxygen/html/trim_boundary1d_8hpp_source.html +++ b/docs/doxygen/html/trim_boundary1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trim_boundary2d_8hpp.html b/docs/doxygen/html/trim_boundary2d_8hpp.html index 61e666dce..8f68d44b5 100644 --- a/docs/doxygen/html/trim_boundary2d_8hpp.html +++ b/docs/doxygen/html/trim_boundary2d_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trim_boundary2d_8hpp_source.html b/docs/doxygen/html/trim_boundary2d_8hpp_source.html index 83edc287f..0f4de7daf 100644 --- a/docs/doxygen/html/trim_boundary2d_8hpp_source.html +++ b/docs/doxygen/html/trim_boundary2d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trunc_8hpp.html b/docs/doxygen/html/trunc_8hpp.html index 0e292d59e..636cf8948 100644 --- a/docs/doxygen/html/trunc_8hpp.html +++ b/docs/doxygen/html/trunc_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/trunc_8hpp_source.html b/docs/doxygen/html/trunc_8hpp_source.html index 068b4601b..274334b91 100644 --- a/docs/doxygen/html/trunc_8hpp_source.html +++ b/docs/doxygen/html/trunc_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/uniform_8hpp.html b/docs/doxygen/html/uniform_8hpp.html index 6d36c06bb..5e952dee4 100644 --- a/docs/doxygen/html/uniform_8hpp.html +++ b/docs/doxygen/html/uniform_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/uniform_8hpp_source.html b/docs/doxygen/html/uniform_8hpp_source.html index 85de56f54..930f98dff 100644 --- a/docs/doxygen/html/uniform_8hpp_source.html +++ b/docs/doxygen/html/uniform_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/uniform_filter1d_8hpp.html b/docs/doxygen/html/uniform_filter1d_8hpp.html index 756f83b27..35dc73f42 100644 --- a/docs/doxygen/html/uniform_filter1d_8hpp.html +++ b/docs/doxygen/html/uniform_filter1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/uniform_filter1d_8hpp_source.html b/docs/doxygen/html/uniform_filter1d_8hpp_source.html index 01e1a5cba..3a3ad5454 100644 --- a/docs/doxygen/html/uniform_filter1d_8hpp_source.html +++ b/docs/doxygen/html/uniform_filter1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/uniform_filter_8hpp.html b/docs/doxygen/html/uniform_filter_8hpp.html index e67db52db..e870887a5 100644 --- a/docs/doxygen/html/uniform_filter_8hpp.html +++ b/docs/doxygen/html/uniform_filter_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/uniform_filter_8hpp_source.html b/docs/doxygen/html/uniform_filter_8hpp_source.html index 10c4a5503..57c124bee 100644 --- a/docs/doxygen/html/uniform_filter_8hpp_source.html +++ b/docs/doxygen/html/uniform_filter_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/uniform_on_sphere_8hpp.html b/docs/doxygen/html/uniform_on_sphere_8hpp.html index 91b22ece9..d720f586e 100644 --- a/docs/doxygen/html/uniform_on_sphere_8hpp.html +++ b/docs/doxygen/html/uniform_on_sphere_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/uniform_on_sphere_8hpp_source.html b/docs/doxygen/html/uniform_on_sphere_8hpp_source.html index 4ebafe57e..f7ee8578f 100644 --- a/docs/doxygen/html/uniform_on_sphere_8hpp_source.html +++ b/docs/doxygen/html/uniform_on_sphere_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/union1d_8hpp.html b/docs/doxygen/html/union1d_8hpp.html index 9e2d55e24..0d96ba949 100644 --- a/docs/doxygen/html/union1d_8hpp.html +++ b/docs/doxygen/html/union1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/union1d_8hpp_source.html b/docs/doxygen/html/union1d_8hpp_source.html index 5e2e0dca0..feb421f6c 100644 --- a/docs/doxygen/html/union1d_8hpp_source.html +++ b/docs/doxygen/html/union1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/unique_8hpp.html b/docs/doxygen/html/unique_8hpp.html index b625fbd14..21c77cfce 100644 --- a/docs/doxygen/html/unique_8hpp.html +++ b/docs/doxygen/html/unique_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/unique_8hpp_source.html b/docs/doxygen/html/unique_8hpp_source.html index 9cf2d80a3..5a4c68b9f 100644 --- a/docs/doxygen/html/unique_8hpp_source.html +++ b/docs/doxygen/html/unique_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/unpackbits_8hpp.html b/docs/doxygen/html/unpackbits_8hpp.html index 81663e62f..386186a98 100644 --- a/docs/doxygen/html/unpackbits_8hpp.html +++ b/docs/doxygen/html/unpackbits_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/unpackbits_8hpp_source.html b/docs/doxygen/html/unpackbits_8hpp_source.html index 78f39c95b..10ad7c411 100644 --- a/docs/doxygen/html/unpackbits_8hpp_source.html +++ b/docs/doxygen/html/unpackbits_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/unwrap_8hpp.html b/docs/doxygen/html/unwrap_8hpp.html index 8440cfa5c..5dd8fac1e 100644 --- a/docs/doxygen/html/unwrap_8hpp.html +++ b/docs/doxygen/html/unwrap_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/unwrap_8hpp_source.html b/docs/doxygen/html/unwrap_8hpp_source.html index e8226a2c3..2313797a7 100644 --- a/docs/doxygen/html/unwrap_8hpp_source.html +++ b/docs/doxygen/html/unwrap_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/value2str_8hpp.html b/docs/doxygen/html/value2str_8hpp.html index f155d02d0..a44f2cff6 100644 --- a/docs/doxygen/html/value2str_8hpp.html +++ b/docs/doxygen/html/value2str_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/value2str_8hpp_source.html b/docs/doxygen/html/value2str_8hpp_source.html index 98bf7db11..7e9d22342 100644 --- a/docs/doxygen/html/value2str_8hpp_source.html +++ b/docs/doxygen/html/value2str_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/vander_8hpp.html b/docs/doxygen/html/vander_8hpp.html index 2acfa9340..3632638d2 100644 --- a/docs/doxygen/html/vander_8hpp.html +++ b/docs/doxygen/html/vander_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/vander_8hpp_source.html b/docs/doxygen/html/vander_8hpp_source.html index 7cc09e431..22aba99a9 100644 --- a/docs/doxygen/html/vander_8hpp_source.html +++ b/docs/doxygen/html/vander_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/var_8hpp.html b/docs/doxygen/html/var_8hpp.html index 3742ff042..63b86b50f 100644 --- a/docs/doxygen/html/var_8hpp.html +++ b/docs/doxygen/html/var_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/var_8hpp_source.html b/docs/doxygen/html/var_8hpp_source.html index 51e86c67c..d51f5a959 100644 --- a/docs/doxygen/html/var_8hpp_source.html +++ b/docs/doxygen/html/var_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/vsplit_8hpp.html b/docs/doxygen/html/vsplit_8hpp.html index 53078b18f..32a282c1d 100644 --- a/docs/doxygen/html/vsplit_8hpp.html +++ b/docs/doxygen/html/vsplit_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/vsplit_8hpp_source.html b/docs/doxygen/html/vsplit_8hpp_source.html index 36037fe7e..4851e15f1 100644 --- a/docs/doxygen/html/vsplit_8hpp_source.html +++ b/docs/doxygen/html/vsplit_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/vstack_8hpp.html b/docs/doxygen/html/vstack_8hpp.html index 124453147..872c65f37 100644 --- a/docs/doxygen/html/vstack_8hpp.html +++ b/docs/doxygen/html/vstack_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/vstack_8hpp_source.html b/docs/doxygen/html/vstack_8hpp_source.html index f3cadc7bb..34462c2a9 100644 --- a/docs/doxygen/html/vstack_8hpp_source.html +++ b/docs/doxygen/html/vstack_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wahbas_problem_8hpp.html b/docs/doxygen/html/wahbas_problem_8hpp.html index 77489d96f..ee2dc3451 100644 --- a/docs/doxygen/html/wahbas_problem_8hpp.html +++ b/docs/doxygen/html/wahbas_problem_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wahbas_problem_8hpp_source.html b/docs/doxygen/html/wahbas_problem_8hpp_source.html index cd371ee05..aeba8dd93 100644 --- a/docs/doxygen/html/wahbas_problem_8hpp_source.html +++ b/docs/doxygen/html/wahbas_problem_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              @@ -180,7 +180,7 @@
                              98 NdArray<double> s;
                              99 NdArray<double> vt;
                              100
                              -
                              101 linalg::svd(b, u, s, vt);
                              +
                              101 linalg::svd(b, u, s, vt);
                              102
                              103 auto m = eye<double>(3, 3);
                              104 m(0, 0) = 1.;
                              @@ -211,8 +211,8 @@ +
                              nc::linalg::svd
                              void svd(const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVT)
                              Definition svd.hpp:51
                              nc::linalg::det
                              auto det(const NdArray< dtype > &inArray)
                              Definition det.hpp:131
                              -
                              nc::linalg::svd
                              void svd(const NdArray< dtype > &inArray, NdArray< double > &outU, NdArray< double > &outS, NdArray< double > &outVt)
                              Definition svd.hpp:51
                              nc::rotations
                              Definition DCM.hpp:39
                              nc::rotations::wahbasProblem
                              NdArray< double > wahbasProblem(const NdArray< dtype > &wk, const NdArray< dtype > &vk, const NdArray< dtype > &ak)
                              Definition wahbasProblem.hpp:62
                              nc::dot
                              NdArray< dtype > dot(const NdArray< dtype > &inArray1, const NdArray< dtype > &inArray2)
                              Definition dot.hpp:47
                              diff --git a/docs/doxygen/html/weibull_8hpp.html b/docs/doxygen/html/weibull_8hpp.html index 78a86e424..103102fd1 100644 --- a/docs/doxygen/html/weibull_8hpp.html +++ b/docs/doxygen/html/weibull_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/weibull_8hpp_source.html b/docs/doxygen/html/weibull_8hpp_source.html index c0fac988c..086584b9c 100644 --- a/docs/doxygen/html/weibull_8hpp_source.html +++ b/docs/doxygen/html/weibull_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/where_8hpp.html b/docs/doxygen/html/where_8hpp.html index 87800ecab..63b21188f 100644 --- a/docs/doxygen/html/where_8hpp.html +++ b/docs/doxygen/html/where_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/where_8hpp_source.html b/docs/doxygen/html/where_8hpp_source.html index 57feaca11..e0c2999dc 100644 --- a/docs/doxygen/html/where_8hpp_source.html +++ b/docs/doxygen/html/where_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/window_exceedances_8hpp.html b/docs/doxygen/html/window_exceedances_8hpp.html index 841192c08..264017ef0 100644 --- a/docs/doxygen/html/window_exceedances_8hpp.html +++ b/docs/doxygen/html/window_exceedances_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/window_exceedances_8hpp_source.html b/docs/doxygen/html/window_exceedances_8hpp_source.html index 9db3f4614..024f45a39 100644 --- a/docs/doxygen/html/window_exceedances_8hpp_source.html +++ b/docs/doxygen/html/window_exceedances_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wrap1d_8hpp.html b/docs/doxygen/html/wrap1d_8hpp.html index c828e741f..bf4a2e5ab 100644 --- a/docs/doxygen/html/wrap1d_8hpp.html +++ b/docs/doxygen/html/wrap1d_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wrap1d_8hpp_source.html b/docs/doxygen/html/wrap1d_8hpp_source.html index b4c5b640a..38003afd9 100644 --- a/docs/doxygen/html/wrap1d_8hpp_source.html +++ b/docs/doxygen/html/wrap1d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wrap2_pi_8hpp.html b/docs/doxygen/html/wrap2_pi_8hpp.html index 335d09279..c959a81f3 100644 --- a/docs/doxygen/html/wrap2_pi_8hpp.html +++ b/docs/doxygen/html/wrap2_pi_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wrap2_pi_8hpp_source.html b/docs/doxygen/html/wrap2_pi_8hpp_source.html index 0fdf537ae..5b518bfa9 100644 --- a/docs/doxygen/html/wrap2_pi_8hpp_source.html +++ b/docs/doxygen/html/wrap2_pi_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wrap2d_8hpp.html b/docs/doxygen/html/wrap2d_8hpp.html index 4d46e23f9..293ee1477 100644 --- a/docs/doxygen/html/wrap2d_8hpp.html +++ b/docs/doxygen/html/wrap2d_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wrap2d_8hpp_source.html b/docs/doxygen/html/wrap2d_8hpp_source.html index 5935f1189..b27866f62 100644 --- a/docs/doxygen/html/wrap2d_8hpp_source.html +++ b/docs/doxygen/html/wrap2d_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wrap_8hpp.html b/docs/doxygen/html/wrap_8hpp.html index 8eec2afaa..7e2347af0 100644 --- a/docs/doxygen/html/wrap_8hpp.html +++ b/docs/doxygen/html/wrap_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/wrap_8hpp_source.html b/docs/doxygen/html/wrap_8hpp_source.html index 05a91a25b..b6c507244 100644 --- a/docs/doxygen/html/wrap_8hpp_source.html +++ b/docs/doxygen/html/wrap_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/zeros_8hpp.html b/docs/doxygen/html/zeros_8hpp.html index c7ef984d6..ae58433fb 100644 --- a/docs/doxygen/html/zeros_8hpp.html +++ b/docs/doxygen/html/zeros_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/zeros_8hpp_source.html b/docs/doxygen/html/zeros_8hpp_source.html index 495c1e752..d6c65570f 100644 --- a/docs/doxygen/html/zeros_8hpp_source.html +++ b/docs/doxygen/html/zeros_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/zeros__like_8hpp.html b/docs/doxygen/html/zeros__like_8hpp.html index 9fb9198ce..0a7cb12ea 100644 --- a/docs/doxygen/html/zeros__like_8hpp.html +++ b/docs/doxygen/html/zeros__like_8hpp.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/doxygen/html/zeros__like_8hpp_source.html b/docs/doxygen/html/zeros__like_8hpp_source.html index 7924b0d43..d8b8233ba 100644 --- a/docs/doxygen/html/zeros__like_8hpp_source.html +++ b/docs/doxygen/html/zeros__like_8hpp_source.html @@ -50,7 +50,7 @@ Logo
                              NumCpp -  2.15.0 +  2.16.0
                              A Templatized Header Only C++ Implementation of the Python NumPy Library
                              diff --git a/docs/markdown/ReleaseNotes.md b/docs/markdown/ReleaseNotes.md index 4ed21d9ef..cefb5a201 100644 --- a/docs/markdown/ReleaseNotes.md +++ b/docs/markdown/ReleaseNotes.md @@ -8,7 +8,7 @@ * unlike NumPy, the NumCpp implementation is only suitable for real symmetric matrices * added `eigvals()` for **Issue #143** * unlike NumPy, the NumCpp implementation is only suitable for real symmetric matrices -* added `svdvals` +* added `svdvals` ## Version 2.15.0